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Finding the Third Proportional to 10,351.97 and 16,461.14

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Solution

The third proportional to 10,351.97 and 16,461.14 is: 26,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.97 : 16,461.14 = 16,461.14 : x
  2. Step 2: Convert to fraction form
    10,351.97/16,461.14 = 16,461.14/x
  3. Step 3: Cross multiply
    10,351.97x = 16,461.14 × 16,461.14
  4. Step 4: Simplify right side
    10,351.97x = 270,969,150.68
  5. Step 5: Solve for x
    x = 270,969,150.68/10,351.97
  6. Step 6: Final answer
    x = 26,175.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.