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Finding the Third Proportional to 1,087.56 and 2,000.44

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Solution

The third proportional to 1,087.56 and 2,000.44 is: 3,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.56 : 2,000.44 = 2,000.44 : x
  2. Step 2: Convert to fraction form
    1,087.56/2,000.44 = 2,000.44/x
  3. Step 3: Cross multiply
    1,087.56x = 2,000.44 × 2,000.44
  4. Step 4: Simplify right side
    1,087.56x = 4,001,750.19
  5. Step 5: Solve for x
    x = 4,001,750.19/1,087.56
  6. Step 6: Final answer
    x = 3,679.56

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.