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Finding the Third Proportional to 1,087.88 and 1,751.48

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Solution

The third proportional to 1,087.88 and 1,751.48 is: 2,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.88 : 1,751.48 = 1,751.48 : x
  2. Step 2: Convert to fraction form
    1,087.88/1,751.48 = 1,751.48/x
  3. Step 3: Cross multiply
    1,087.88x = 1,751.48 × 1,751.48
  4. Step 4: Simplify right side
    1,087.88x = 3,067,697.52
  5. Step 5: Solve for x
    x = 3,067,697.52/1,087.88
  6. Step 6: Final answer
    x = 2,819.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.