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Finding the Third Proportional to 3,727.13 and 6,882.75

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Solution

The third proportional to 3,727.13 and 6,882.75 is: 12,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.13 : 6,882.75 = 6,882.75 : x
  2. Step 2: Convert to fraction form
    3,727.13/6,882.75 = 6,882.75/x
  3. Step 3: Cross multiply
    3,727.13x = 6,882.75 × 6,882.75
  4. Step 4: Simplify right side
    3,727.13x = 47,372,247.56
  5. Step 5: Solve for x
    x = 47,372,247.56/3,727.13
  6. Step 6: Final answer
    x = 12,710.13

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.