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Finding the Third Proportional to 24,866 and 38,416

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Solution

The third proportional to 24,866 and 38,416 is: 59,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866 : 38,416 = 38,416 : x
  2. Step 2: Convert to fraction form
    24,866/38,416 = 38,416/x
  3. Step 3: Cross multiply
    24,866x = 38,416 × 38,416
  4. Step 4: Simplify right side
    24,866x = 1,475,789,056
  5. Step 5: Solve for x
    x = 1,475,789,056/24,866
  6. Step 6: Final answer
    x = 59,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.