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Finding the Third Proportional to 24,532 and 38,718

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Solution

The third proportional to 24,532 and 38,718 is: 61,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 38,718 = 38,718 : x
  2. Step 2: Convert to fraction form
    24,532/38,718 = 38,718/x
  3. Step 3: Cross multiply
    24,532x = 38,718 × 38,718
  4. Step 4: Simplify right side
    24,532x = 1,499,083,524
  5. Step 5: Solve for x
    x = 1,499,083,524/24,532
  6. Step 6: Final answer
    x = 61,107.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.