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Finding the Third Proportional to 1,171.13 and 2,577.66

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Solution

The third proportional to 1,171.13 and 2,577.66 is: 5,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.13 : 2,577.66 = 2,577.66 : x
  2. Step 2: Convert to fraction form
    1,171.13/2,577.66 = 2,577.66/x
  3. Step 3: Cross multiply
    1,171.13x = 2,577.66 × 2,577.66
  4. Step 4: Simplify right side
    1,171.13x = 6,644,311.74
  5. Step 5: Solve for x
    x = 6,644,311.74/1,171.13
  6. Step 6: Final answer
    x = 5,673.44

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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.