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Finding the Third Proportional to 6,122.46 and 9,159.96

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Solution

The third proportional to 6,122.46 and 9,159.96 is: 13,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.46 : 9,159.96 = 9,159.96 : x
  2. Step 2: Convert to fraction form
    6,122.46/9,159.96 = 9,159.96/x
  3. Step 3: Cross multiply
    6,122.46x = 9,159.96 × 9,159.96
  4. Step 4: Simplify right side
    6,122.46x = 83,904,884.38
  5. Step 5: Solve for x
    x = 83,904,884.38/6,122.46
  6. Step 6: Final answer
    x = 13,704.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.