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Finding the Third Proportional to 10.84 and 24.19

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Solution

The third proportional to 10.84 and 24.19 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.84 : 24.19 = 24.19 : x
  2. Step 2: Convert to fraction form
    10.84/24.19 = 24.19/x
  3. Step 3: Cross multiply
    10.84x = 24.19 × 24.19
  4. Step 4: Simplify right side
    10.84x = 585.15
  5. Step 5: Solve for x
    x = 585.15/10.84
  6. Step 6: Final answer
    x = 53.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.