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Finding the Third Proportional to 1,178.30 and 3,202.03

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Solution

The third proportional to 1,178.30 and 3,202.03 is: 8,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.30 : 3,202.03 = 3,202.03 : x
  2. Step 2: Convert to fraction form
    1,178.30/3,202.03 = 3,202.03/x
  3. Step 3: Cross multiply
    1,178.30x = 3,202.03 × 3,202.03
  4. Step 4: Simplify right side
    1,178.30x = 10,253,004.13
  5. Step 5: Solve for x
    x = 10,253,004.13/1,178.30
  6. Step 6: Final answer
    x = 8,701.55

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.