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Finding the Third Proportional to 1,060.38 and 2,149.24

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Solution

The third proportional to 1,060.38 and 2,149.24 is: 4,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.38 : 2,149.24 = 2,149.24 : x
  2. Step 2: Convert to fraction form
    1,060.38/2,149.24 = 2,149.24/x
  3. Step 3: Cross multiply
    1,060.38x = 2,149.24 × 2,149.24
  4. Step 4: Simplify right side
    1,060.38x = 4,619,241.98
  5. Step 5: Solve for x
    x = 4,619,241.98/1,060.38
  6. Step 6: Final answer
    x = 4,356.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.