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Finding the Third Proportional to 1,337.77 and 2,761.59

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Solution

The third proportional to 1,337.77 and 2,761.59 is: 5,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.77 : 2,761.59 = 2,761.59 : x
  2. Step 2: Convert to fraction form
    1,337.77/2,761.59 = 2,761.59/x
  3. Step 3: Cross multiply
    1,337.77x = 2,761.59 × 2,761.59
  4. Step 4: Simplify right side
    1,337.77x = 7,626,400.04
  5. Step 5: Solve for x
    x = 7,626,400.04/1,337.77
  6. Step 6: Final answer
    x = 5,700.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.