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Finding the Third Proportional to 882.14 and 1,780.73

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Solution

The third proportional to 882.14 and 1,780.73 is: 3,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,780.73 = 1,780.73 : x
  2. Step 2: Convert to fraction form
    882.14/1,780.73 = 1,780.73/x
  3. Step 3: Cross multiply
    882.14x = 1,780.73 × 1,780.73
  4. Step 4: Simplify right side
    882.14x = 3,171,014.91
  5. Step 5: Solve for x
    x = 3,171,014.91/882.14
  6. Step 6: Final answer
    x = 3,594.68

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.