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Finding the Third Proportional to 10,891.13 and 16,657.31

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Solution

The third proportional to 10,891.13 and 16,657.31 is: 25,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.13 : 16,657.31 = 16,657.31 : x
  2. Step 2: Convert to fraction form
    10,891.13/16,657.31 = 16,657.31/x
  3. Step 3: Cross multiply
    10,891.13x = 16,657.31 × 16,657.31
  4. Step 4: Simplify right side
    10,891.13x = 277,466,059.72
  5. Step 5: Solve for x
    x = 277,466,059.72/10,891.13
  6. Step 6: Final answer
    x = 25,476.35

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Why These Related Problems?

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