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Finding the Third Proportional to 4,249.13 and 6,167.81

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Solution

The third proportional to 4,249.13 and 6,167.81 is: 8,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.13 : 6,167.81 = 6,167.81 : x
  2. Step 2: Convert to fraction form
    4,249.13/6,167.81 = 6,167.81/x
  3. Step 3: Cross multiply
    4,249.13x = 6,167.81 × 6,167.81
  4. Step 4: Simplify right side
    4,249.13x = 38,041,911.04
  5. Step 5: Solve for x
    x = 38,041,911.04/4,249.13
  6. Step 6: Final answer
    x = 8,952.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.