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Finding the Third Proportional to 4,162.88 and 6,181.13

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Solution

The third proportional to 4,162.88 and 6,181.13 is: 9,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.88 : 6,181.13 = 6,181.13 : x
  2. Step 2: Convert to fraction form
    4,162.88/6,181.13 = 6,181.13/x
  3. Step 3: Cross multiply
    4,162.88x = 6,181.13 × 6,181.13
  4. Step 4: Simplify right side
    4,162.88x = 38,206,306.27
  5. Step 5: Solve for x
    x = 38,206,306.27/4,162.88
  6. Step 6: Final answer
    x = 9,177.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.