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Finding the Third Proportional to 937.97 and 1,493.86

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Solution

The third proportional to 937.97 and 1,493.86 is: 2,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 1,493.86 = 1,493.86 : x
  2. Step 2: Convert to fraction form
    937.97/1,493.86 = 1,493.86/x
  3. Step 3: Cross multiply
    937.97x = 1,493.86 × 1,493.86
  4. Step 4: Simplify right side
    937.97x = 2,231,615.83
  5. Step 5: Solve for x
    x = 2,231,615.83/937.97
  6. Step 6: Final answer
    x = 2,379.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.