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Finding the Third Proportional to 4,098.38 and 6,868.13

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Solution

The third proportional to 4,098.38 and 6,868.13 is: 11,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.38 : 6,868.13 = 6,868.13 : x
  2. Step 2: Convert to fraction form
    4,098.38/6,868.13 = 6,868.13/x
  3. Step 3: Cross multiply
    4,098.38x = 6,868.13 × 6,868.13
  4. Step 4: Simplify right side
    4,098.38x = 47,171,141.02
  5. Step 5: Solve for x
    x = 47,171,141.02/4,098.38
  6. Step 6: Final answer
    x = 11,509.72

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.