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Finding the Third Proportional to 3,314.25 and 7,207.13

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Solution

The third proportional to 3,314.25 and 7,207.13 is: 15,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.25 : 7,207.13 = 7,207.13 : x
  2. Step 2: Convert to fraction form
    3,314.25/7,207.13 = 7,207.13/x
  3. Step 3: Cross multiply
    3,314.25x = 7,207.13 × 7,207.13
  4. Step 4: Simplify right side
    3,314.25x = 51,942,650.77
  5. Step 5: Solve for x
    x = 51,942,650.77/3,314.25
  6. Step 6: Final answer
    x = 15,672.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.