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Finding the Third Proportional to 16,144.31 and 34,882.84

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Solution

The third proportional to 16,144.31 and 34,882.84 is: 75,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.31 : 34,882.84 = 34,882.84 : x
  2. Step 2: Convert to fraction form
    16,144.31/34,882.84 = 34,882.84/x
  3. Step 3: Cross multiply
    16,144.31x = 34,882.84 × 34,882.84
  4. Step 4: Simplify right side
    16,144.31x = 1,216,812,515.56
  5. Step 5: Solve for x
    x = 1,216,812,515.56/16,144.31
  6. Step 6: Final answer
    x = 75,370.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.