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Finding the Third Proportional to 1,542.38 and 2,373.47

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Solution

The third proportional to 1,542.38 and 2,373.47 is: 3,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.38 : 2,373.47 = 2,373.47 : x
  2. Step 2: Convert to fraction form
    1,542.38/2,373.47 = 2,373.47/x
  3. Step 3: Cross multiply
    1,542.38x = 2,373.47 × 2,373.47
  4. Step 4: Simplify right side
    1,542.38x = 5,633,353.91
  5. Step 5: Solve for x
    x = 5,633,353.91/1,542.38
  6. Step 6: Final answer
    x = 3,652.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.