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Finding the Third Proportional to 871.88 and 2,001.94

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Solution

The third proportional to 871.88 and 2,001.94 is: 4,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 2,001.94 = 2,001.94 : x
  2. Step 2: Convert to fraction form
    871.88/2,001.94 = 2,001.94/x
  3. Step 3: Cross multiply
    871.88x = 2,001.94 × 2,001.94
  4. Step 4: Simplify right side
    871.88x = 4,007,753.75
  5. Step 5: Solve for x
    x = 4,007,753.75/871.88
  6. Step 6: Final answer
    x = 4,596.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.