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Finding the Third Proportional to 1,542.38 and 2,276.44

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Solution

The third proportional to 1,542.38 and 2,276.44 is: 3,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.38 : 2,276.44 = 2,276.44 : x
  2. Step 2: Convert to fraction form
    1,542.38/2,276.44 = 2,276.44/x
  3. Step 3: Cross multiply
    1,542.38x = 2,276.44 × 2,276.44
  4. Step 4: Simplify right side
    1,542.38x = 5,182,167.69
  5. Step 5: Solve for x
    x = 5,182,167.69/1,542.38
  6. Step 6: Final answer
    x = 3,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.