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Finding the Third Proportional to 12,175.13 and 18,342.38

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Solution

The third proportional to 12,175.13 and 18,342.38 is: 27,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.13 : 18,342.38 = 18,342.38 : x
  2. Step 2: Convert to fraction form
    12,175.13/18,342.38 = 18,342.38/x
  3. Step 3: Cross multiply
    12,175.13x = 18,342.38 × 18,342.38
  4. Step 4: Simplify right side
    12,175.13x = 336,442,720.64
  5. Step 5: Solve for x
    x = 336,442,720.64/12,175.13
  6. Step 6: Final answer
    x = 27,633.62

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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.