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Finding the Third Proportional to 24,805.13 and 38,419.31

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Solution

The third proportional to 24,805.13 and 38,419.31 is: 59,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.13 : 38,419.31 = 38,419.31 : x
  2. Step 2: Convert to fraction form
    24,805.13/38,419.31 = 38,419.31/x
  3. Step 3: Cross multiply
    24,805.13x = 38,419.31 × 38,419.31
  4. Step 4: Simplify right side
    24,805.13x = 1,476,043,572.97
  5. Step 5: Solve for x
    x = 1,476,043,572.97/24,805.13
  6. Step 6: Final answer
    x = 59,505.59

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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.