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Finding the Third Proportional to 24,694.88 and 38,296.13

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Solution

The third proportional to 24,694.88 and 38,296.13 is: 59,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.88 : 38,296.13 = 38,296.13 : x
  2. Step 2: Convert to fraction form
    24,694.88/38,296.13 = 38,296.13/x
  3. Step 3: Cross multiply
    24,694.88x = 38,296.13 × 38,296.13
  4. Step 4: Simplify right side
    24,694.88x = 1,466,593,190.02
  5. Step 5: Solve for x
    x = 1,466,593,190.02/24,694.88
  6. Step 6: Final answer
    x = 59,388.57

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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.