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Finding the Third Proportional to 937.97 and 2,029.78

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Solution

The third proportional to 937.97 and 2,029.78 is: 4,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 2,029.78 = 2,029.78 : x
  2. Step 2: Convert to fraction form
    937.97/2,029.78 = 2,029.78/x
  3. Step 3: Cross multiply
    937.97x = 2,029.78 × 2,029.78
  4. Step 4: Simplify right side
    937.97x = 4,120,011.92
  5. Step 5: Solve for x
    x = 4,120,011.92/937.97
  6. Step 6: Final answer
    x = 4,392.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.