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Finding the Third Proportional to 1,716.31 and 3,747.25

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Solution

The third proportional to 1,716.31 and 3,747.25 is: 8,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.31 : 3,747.25 = 3,747.25 : x
  2. Step 2: Convert to fraction form
    1,716.31/3,747.25 = 3,747.25/x
  3. Step 3: Cross multiply
    1,716.31x = 3,747.25 × 3,747.25
  4. Step 4: Simplify right side
    1,716.31x = 14,041,882.56
  5. Step 5: Solve for x
    x = 14,041,882.56/1,716.31
  6. Step 6: Final answer
    x = 8,181.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.