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Finding the Third Proportional to 9,502.31 and 12,610.69

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Solution

The third proportional to 9,502.31 and 12,610.69 is: 16,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.31 : 12,610.69 = 12,610.69 : x
  2. Step 2: Convert to fraction form
    9,502.31/12,610.69 = 12,610.69/x
  3. Step 3: Cross multiply
    9,502.31x = 12,610.69 × 12,610.69
  4. Step 4: Simplify right side
    9,502.31x = 159,029,439.22
  5. Step 5: Solve for x
    x = 159,029,439.22/9,502.31
  6. Step 6: Final answer
    x = 16,735.87

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.