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Finding the Third Proportional to 801.77 and 1,862.68

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Solution

The third proportional to 801.77 and 1,862.68 is: 4,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.77 : 1,862.68 = 1,862.68 : x
  2. Step 2: Convert to fraction form
    801.77/1,862.68 = 1,862.68/x
  3. Step 3: Cross multiply
    801.77x = 1,862.68 × 1,862.68
  4. Step 4: Simplify right side
    801.77x = 3,469,590.17
  5. Step 5: Solve for x
    x = 3,469,590.17/801.77
  6. Step 6: Final answer
    x = 4,327.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.