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Finding the Third Proportional to 882.28 and 1,881.70

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Solution

The third proportional to 882.28 and 1,881.70 is: 4,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.28 : 1,881.70 = 1,881.70 : x
  2. Step 2: Convert to fraction form
    882.28/1,881.70 = 1,881.70/x
  3. Step 3: Cross multiply
    882.28x = 1,881.70 × 1,881.70
  4. Step 4: Simplify right side
    882.28x = 3,540,806.65
  5. Step 5: Solve for x
    x = 3,540,806.65/882.28
  6. Step 6: Final answer
    x = 4,013.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.