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Finding the Third Proportional to 16,251.50 and 23,761.50

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Solution

The third proportional to 16,251.50 and 23,761.50 is: 34,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.50 : 23,761.50 = 23,761.50 : x
  2. Step 2: Convert to fraction form
    16,251.50/23,761.50 = 23,761.50/x
  3. Step 3: Cross multiply
    16,251.50x = 23,761.50 × 23,761.50
  4. Step 4: Simplify right side
    16,251.50x = 564,608,882.25
  5. Step 5: Solve for x
    x = 564,608,882.25/16,251.50
  6. Step 6: Final answer
    x = 34,741.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.