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Finding the Third Proportional to 10,231.31 and 15,360.89

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Solution

The third proportional to 10,231.31 and 15,360.89 is: 23,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.31 : 15,360.89 = 15,360.89 : x
  2. Step 2: Convert to fraction form
    10,231.31/15,360.89 = 15,360.89/x
  3. Step 3: Cross multiply
    10,231.31x = 15,360.89 × 15,360.89
  4. Step 4: Simplify right side
    10,231.31x = 235,956,960.79
  5. Step 5: Solve for x
    x = 235,956,960.79/10,231.31
  6. Step 6: Final answer
    x = 23,062.24

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