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Finding the Third Proportional to 24,139.50 and 31,817.25

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Solution

The third proportional to 24,139.50 and 31,817.25 is: 41,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.50 : 31,817.25 = 31,817.25 : x
  2. Step 2: Convert to fraction form
    24,139.50/31,817.25 = 31,817.25/x
  3. Step 3: Cross multiply
    24,139.50x = 31,817.25 × 31,817.25
  4. Step 4: Simplify right side
    24,139.50x = 1,012,337,397.56
  5. Step 5: Solve for x
    x = 1,012,337,397.56/24,139.50
  6. Step 6: Final answer
    x = 41,936.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.