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Finding the Third Proportional to 11,708.38 and 17,562.94

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Solution

The third proportional to 11,708.38 and 17,562.94 is: 26,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.38 : 17,562.94 = 17,562.94 : x
  2. Step 2: Convert to fraction form
    11,708.38/17,562.94 = 17,562.94/x
  3. Step 3: Cross multiply
    11,708.38x = 17,562.94 × 17,562.94
  4. Step 4: Simplify right side
    11,708.38x = 308,456,773.63
  5. Step 5: Solve for x
    x = 308,456,773.63/11,708.38
  6. Step 6: Final answer
    x = 26,344.97

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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.