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Finding the Third Proportional to 12,129.75 and 17,121.38

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Solution

The third proportional to 12,129.75 and 17,121.38 is: 24,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 17,121.38 = 17,121.38 : x
  2. Step 2: Convert to fraction form
    12,129.75/17,121.38 = 17,121.38/x
  3. Step 3: Cross multiply
    12,129.75x = 17,121.38 × 17,121.38
  4. Step 4: Simplify right side
    12,129.75x = 293,141,481.89
  5. Step 5: Solve for x
    x = 293,141,481.89/12,129.75
  6. Step 6: Final answer
    x = 24,167.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.