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Finding the Third Proportional to 17 and 24.19

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Solution

The third proportional to 17 and 24.19 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17 : 24.19 = 24.19 : x
  2. Step 2: Convert to fraction form
    17/24.19 = 24.19/x
  3. Step 3: Cross multiply
    17x = 24.19 × 24.19
  4. Step 4: Simplify right side
    17x = 585.04
  5. Step 5: Solve for x
    x = 585.04/17
  6. Step 6: Final answer
    x = 34.41

Related Problems

Find third proportional to 8.50 and 12.09
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.