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Finding the Third Proportional to 1,996.88 and 3,281.06

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Solution

The third proportional to 1,996.88 and 3,281.06 is: 5,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.88 : 3,281.06 = 3,281.06 : x
  2. Step 2: Convert to fraction form
    1,996.88/3,281.06 = 3,281.06/x
  3. Step 3: Cross multiply
    1,996.88x = 3,281.06 × 3,281.06
  4. Step 4: Simplify right side
    1,996.88x = 10,765,371.13
  5. Step 5: Solve for x
    x = 10,765,371.13/1,996.88
  6. Step 6: Final answer
    x = 5,391.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.