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Finding the Third Proportional to 6,109.17 and 6,747.05

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Solution

The third proportional to 6,109.17 and 6,747.05 is: 7,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.17 : 6,747.05 = 6,747.05 : x
  2. Step 2: Convert to fraction form
    6,109.17/6,747.05 = 6,747.05/x
  3. Step 3: Cross multiply
    6,109.17x = 6,747.05 × 6,747.05
  4. Step 4: Simplify right side
    6,109.17x = 45,522,641.53
  5. Step 5: Solve for x
    x = 45,522,641.53/6,109.17
  6. Step 6: Final answer
    x = 7,451.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.