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Finding the Third Proportional to 1,087.05 and 2,327.82

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Solution

The third proportional to 1,087.05 and 2,327.82 is: 4,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.05 : 2,327.82 = 2,327.82 : x
  2. Step 2: Convert to fraction form
    1,087.05/2,327.82 = 2,327.82/x
  3. Step 3: Cross multiply
    1,087.05x = 2,327.82 × 2,327.82
  4. Step 4: Simplify right side
    1,087.05x = 5,418,738.31
  5. Step 5: Solve for x
    x = 5,418,738.31/1,087.05
  6. Step 6: Final answer
    x = 4,984.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.