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Finding the Third Proportional to 3,306.13 and 7,131.24

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Solution

The third proportional to 3,306.13 and 7,131.24 is: 15,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.13 : 7,131.24 = 7,131.24 : x
  2. Step 2: Convert to fraction form
    3,306.13/7,131.24 = 7,131.24/x
  3. Step 3: Cross multiply
    3,306.13x = 7,131.24 × 7,131.24
  4. Step 4: Simplify right side
    3,306.13x = 50,854,629.06
  5. Step 5: Solve for x
    x = 50,854,629.06/3,306.13
  6. Step 6: Final answer
    x = 15,381.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.