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Finding the Third Proportional to 1,321.31 and 1,744.03

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Solution

The third proportional to 1,321.31 and 1,744.03 is: 2,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.31 : 1,744.03 = 1,744.03 : x
  2. Step 2: Convert to fraction form
    1,321.31/1,744.03 = 1,744.03/x
  3. Step 3: Cross multiply
    1,321.31x = 1,744.03 × 1,744.03
  4. Step 4: Simplify right side
    1,321.31x = 3,041,645.00
  5. Step 5: Solve for x
    x = 3,041,645.00/1,321.31
  6. Step 6: Final answer
    x = 2,301.99

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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.