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Finding the Third Proportional to 871.31 and 1,536.19

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Solution

The third proportional to 871.31 and 1,536.19 is: 2,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.31 : 1,536.19 = 1,536.19 : x
  2. Step 2: Convert to fraction form
    871.31/1,536.19 = 1,536.19/x
  3. Step 3: Cross multiply
    871.31x = 1,536.19 × 1,536.19
  4. Step 4: Simplify right side
    871.31x = 2,359,872.04
  5. Step 5: Solve for x
    x = 2,359,872.04/871.31
  6. Step 6: Final answer
    x = 2,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.