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Finding the Third Proportional to 1,062.42 and 2,337.61

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Solution

The third proportional to 1,062.42 and 2,337.61 is: 5,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.42 : 2,337.61 = 2,337.61 : x
  2. Step 2: Convert to fraction form
    1,062.42/2,337.61 = 2,337.61/x
  3. Step 3: Cross multiply
    1,062.42x = 2,337.61 × 2,337.61
  4. Step 4: Simplify right side
    1,062.42x = 5,464,417.59
  5. Step 5: Solve for x
    x = 5,464,417.59/1,062.42
  6. Step 6: Final answer
    x = 5,143.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.