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Finding the Third Proportional to 10,388.25 and 24,694.88

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Solution

The third proportional to 10,388.25 and 24,694.88 is: 58,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.25 : 24,694.88 = 24,694.88 : x
  2. Step 2: Convert to fraction form
    10,388.25/24,694.88 = 24,694.88/x
  3. Step 3: Cross multiply
    10,388.25x = 24,694.88 × 24,694.88
  4. Step 4: Simplify right side
    10,388.25x = 609,836,851.27
  5. Step 5: Solve for x
    x = 609,836,851.27/10,388.25
  6. Step 6: Final answer
    x = 58,704.48

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.