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Finding the Third Proportional to 1,061.46 and 2,327.96

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Solution

The third proportional to 1,061.46 and 2,327.96 is: 5,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.46 : 2,327.96 = 2,327.96 : x
  2. Step 2: Convert to fraction form
    1,061.46/2,327.96 = 2,327.96/x
  3. Step 3: Cross multiply
    1,061.46x = 2,327.96 × 2,327.96
  4. Step 4: Simplify right side
    1,061.46x = 5,419,393.03
  5. Step 5: Solve for x
    x = 5,419,393.03/1,061.46
  6. Step 6: Final answer
    x = 5,105.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.