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Finding the Third Proportional to 24.68 and 34.17

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Solution

The third proportional to 24.68 and 34.17 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 34.17 = 34.17 : x
  2. Step 2: Convert to fraction form
    24.68/34.17 = 34.17/x
  3. Step 3: Cross multiply
    24.68x = 34.17 × 34.17
  4. Step 4: Simplify right side
    24.68x = 1,167.72
  5. Step 5: Solve for x
    x = 1,167.72/24.68
  6. Step 6: Final answer
    x = 47.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.