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Finding the Third Proportional to 3,306.23 and 5,122.62

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Solution

The third proportional to 3,306.23 and 5,122.62 is: 7,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.23 : 5,122.62 = 5,122.62 : x
  2. Step 2: Convert to fraction form
    3,306.23/5,122.62 = 5,122.62/x
  3. Step 3: Cross multiply
    3,306.23x = 5,122.62 × 5,122.62
  4. Step 4: Simplify right side
    3,306.23x = 26,241,206.85
  5. Step 5: Solve for x
    x = 26,241,206.85/3,306.23
  6. Step 6: Final answer
    x = 7,936.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.