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Finding the Third Proportional to 937.13 and 2,057.91

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Solution

The third proportional to 937.13 and 2,057.91 is: 4,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.13 : 2,057.91 = 2,057.91 : x
  2. Step 2: Convert to fraction form
    937.13/2,057.91 = 2,057.91/x
  3. Step 3: Cross multiply
    937.13x = 2,057.91 × 2,057.91
  4. Step 4: Simplify right side
    937.13x = 4,234,978.13
  5. Step 5: Solve for x
    x = 4,234,978.13/937.13
  6. Step 6: Final answer
    x = 4,519.12

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Why These Related Problems?

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