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Finding the Third Proportional to 5,437.13 and 6,139.55

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Solution

The third proportional to 5,437.13 and 6,139.55 is: 6,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.13 : 6,139.55 = 6,139.55 : x
  2. Step 2: Convert to fraction form
    5,437.13/6,139.55 = 6,139.55/x
  3. Step 3: Cross multiply
    5,437.13x = 6,139.55 × 6,139.55
  4. Step 4: Simplify right side
    5,437.13x = 37,694,035.83
  5. Step 5: Solve for x
    x = 37,694,035.83/5,437.13
  6. Step 6: Final answer
    x = 6,932.71

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.