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Finding the Third Proportional to 4,188.38 and 6,337.13

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Solution

The third proportional to 4,188.38 and 6,337.13 is: 9,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.38 : 6,337.13 = 6,337.13 : x
  2. Step 2: Convert to fraction form
    4,188.38/6,337.13 = 6,337.13/x
  3. Step 3: Cross multiply
    4,188.38x = 6,337.13 × 6,337.13
  4. Step 4: Simplify right side
    4,188.38x = 40,159,153.27
  5. Step 5: Solve for x
    x = 40,159,153.27/4,188.38
  6. Step 6: Final answer
    x = 9,588.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.