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Finding the Third Proportional to 801.56 and 1,726.59

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Solution

The third proportional to 801.56 and 1,726.59 is: 3,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.56 : 1,726.59 = 1,726.59 : x
  2. Step 2: Convert to fraction form
    801.56/1,726.59 = 1,726.59/x
  3. Step 3: Cross multiply
    801.56x = 1,726.59 × 1,726.59
  4. Step 4: Simplify right side
    801.56x = 2,981,125.98
  5. Step 5: Solve for x
    x = 2,981,125.98/801.56
  6. Step 6: Final answer
    x = 3,719.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.