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Finding the Third Proportional to 24 and 35.19

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Solution

The third proportional to 24 and 35.19 is: 51.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 35.19 = 35.19 : x
  2. Step 2: Convert to fraction form
    24/35.19 = 35.19/x
  3. Step 3: Cross multiply
    24x = 35.19 × 35.19
  4. Step 4: Simplify right side
    24x = 1,238.16
  5. Step 5: Solve for x
    x = 1,238.16/24
  6. Step 6: Final answer
    x = 51.59

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.