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Finding the Third Proportional to 6,687.56 and 10,400.91

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Solution

The third proportional to 6,687.56 and 10,400.91 is: 16,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.56 : 10,400.91 = 10,400.91 : x
  2. Step 2: Convert to fraction form
    6,687.56/10,400.91 = 10,400.91/x
  3. Step 3: Cross multiply
    6,687.56x = 10,400.91 × 10,400.91
  4. Step 4: Simplify right side
    6,687.56x = 108,178,850.82
  5. Step 5: Solve for x
    x = 108,178,850.82/6,687.56
  6. Step 6: Final answer
    x = 16,176.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.