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Finding the Third Proportional to 10,231.31 and 11,937.38

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Solution

The third proportional to 10,231.31 and 11,937.38 is: 13,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.31 : 11,937.38 = 11,937.38 : x
  2. Step 2: Convert to fraction form
    10,231.31/11,937.38 = 11,937.38/x
  3. Step 3: Cross multiply
    10,231.31x = 11,937.38 × 11,937.38
  4. Step 4: Simplify right side
    10,231.31x = 142,500,921.89
  5. Step 5: Solve for x
    x = 142,500,921.89/10,231.31
  6. Step 6: Final answer
    x = 13,927.92

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.