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Finding the Third Proportional to 19,753.50 and 43,398

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Solution

The third proportional to 19,753.50 and 43,398 is: 95,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.50 : 43,398 = 43,398 : x
  2. Step 2: Convert to fraction form
    19,753.50/43,398 = 43,398/x
  3. Step 3: Cross multiply
    19,753.50x = 43,398 × 43,398
  4. Step 4: Simplify right side
    19,753.50x = 1,883,386,404
  5. Step 5: Solve for x
    x = 1,883,386,404/19,753.50
  6. Step 6: Final answer
    x = 95,344.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.