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Finding the Third Proportional to 6,238.41 and 9,175.31

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Solution

The third proportional to 6,238.41 and 9,175.31 is: 13,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.41 : 9,175.31 = 9,175.31 : x
  2. Step 2: Convert to fraction form
    6,238.41/9,175.31 = 9,175.31/x
  3. Step 3: Cross multiply
    6,238.41x = 9,175.31 × 9,175.31
  4. Step 4: Simplify right side
    6,238.41x = 84,186,359.47
  5. Step 5: Solve for x
    x = 84,186,359.47/6,238.41
  6. Step 6: Final answer
    x = 13,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.