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Finding the Third Proportional to 725.91 and 1,587.66

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Solution

The third proportional to 725.91 and 1,587.66 is: 3,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.91 : 1,587.66 = 1,587.66 : x
  2. Step 2: Convert to fraction form
    725.91/1,587.66 = 1,587.66/x
  3. Step 3: Cross multiply
    725.91x = 1,587.66 × 1,587.66
  4. Step 4: Simplify right side
    725.91x = 2,520,652.37
  5. Step 5: Solve for x
    x = 2,520,652.37/725.91
  6. Step 6: Final answer
    x = 3,472.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.