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Finding the Third Proportional to 1,996.52 and 4,377.48

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Solution

The third proportional to 1,996.52 and 4,377.48 is: 9,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.52 : 4,377.48 = 4,377.48 : x
  2. Step 2: Convert to fraction form
    1,996.52/4,377.48 = 4,377.48/x
  3. Step 3: Cross multiply
    1,996.52x = 4,377.48 × 4,377.48
  4. Step 4: Simplify right side
    1,996.52x = 19,162,335.25
  5. Step 5: Solve for x
    x = 19,162,335.25/1,996.52
  6. Step 6: Final answer
    x = 9,597.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.