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Finding the Third Proportional to 882.13 and 1,937.13

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Solution

The third proportional to 882.13 and 1,937.13 is: 4,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.13 : 1,937.13 = 1,937.13 : x
  2. Step 2: Convert to fraction form
    882.13/1,937.13 = 1,937.13/x
  3. Step 3: Cross multiply
    882.13x = 1,937.13 × 1,937.13
  4. Step 4: Simplify right side
    882.13x = 3,752,453.27
  5. Step 5: Solve for x
    x = 3,752,453.27/882.13
  6. Step 6: Final answer
    x = 4,253.88

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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.