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Finding the Third Proportional to 24,904 and 38,564

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Solution

The third proportional to 24,904 and 38,564 is: 59,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904 : 38,564 = 38,564 : x
  2. Step 2: Convert to fraction form
    24,904/38,564 = 38,564/x
  3. Step 3: Cross multiply
    24,904x = 38,564 × 38,564
  4. Step 4: Simplify right side
    24,904x = 1,487,182,096
  5. Step 5: Solve for x
    x = 1,487,182,096/24,904
  6. Step 6: Final answer
    x = 59,716.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.