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Finding the Third Proportional to 24,715 and 38,301.25

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Solution

The third proportional to 24,715 and 38,301.25 is: 59,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715 : 38,301.25 = 38,301.25 : x
  2. Step 2: Convert to fraction form
    24,715/38,301.25 = 38,301.25/x
  3. Step 3: Cross multiply
    24,715x = 38,301.25 × 38,301.25
  4. Step 4: Simplify right side
    24,715x = 1,466,985,751.56
  5. Step 5: Solve for x
    x = 1,466,985,751.56/24,715
  6. Step 6: Final answer
    x = 59,356.09

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