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Finding the Third Proportional to 10,717.31 and 16,384.78

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Solution

The third proportional to 10,717.31 and 16,384.78 is: 25,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.31 : 16,384.78 = 16,384.78 : x
  2. Step 2: Convert to fraction form
    10,717.31/16,384.78 = 16,384.78/x
  3. Step 3: Cross multiply
    10,717.31x = 16,384.78 × 16,384.78
  4. Step 4: Simplify right side
    10,717.31x = 268,461,056.61
  5. Step 5: Solve for x
    x = 268,461,056.61/10,717.31
  6. Step 6: Final answer
    x = 25,049.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.