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Finding the Third Proportional to 3,286.13 and 4,427.44

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Solution

The third proportional to 3,286.13 and 4,427.44 is: 5,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.13 : 4,427.44 = 4,427.44 : x
  2. Step 2: Convert to fraction form
    3,286.13/4,427.44 = 4,427.44/x
  3. Step 3: Cross multiply
    3,286.13x = 4,427.44 × 4,427.44
  4. Step 4: Simplify right side
    3,286.13x = 19,602,202.82
  5. Step 5: Solve for x
    x = 19,602,202.82/3,286.13
  6. Step 6: Final answer
    x = 5,965.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.