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Finding the Third Proportional to 871.59 and 1,915.31

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Solution

The third proportional to 871.59 and 1,915.31 is: 4,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.59 : 1,915.31 = 1,915.31 : x
  2. Step 2: Convert to fraction form
    871.59/1,915.31 = 1,915.31/x
  3. Step 3: Cross multiply
    871.59x = 1,915.31 × 1,915.31
  4. Step 4: Simplify right side
    871.59x = 3,668,421.97
  5. Step 5: Solve for x
    x = 3,668,421.97/871.59
  6. Step 6: Final answer
    x = 4,208.87

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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.