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Finding the Third Proportional to 3,613.68 and 7,919.33

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Solution

The third proportional to 3,613.68 and 7,919.33 is: 17,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.68 : 7,919.33 = 7,919.33 : x
  2. Step 2: Convert to fraction form
    3,613.68/7,919.33 = 7,919.33/x
  3. Step 3: Cross multiply
    3,613.68x = 7,919.33 × 7,919.33
  4. Step 4: Simplify right side
    3,613.68x = 62,715,819.82
  5. Step 5: Solve for x
    x = 62,715,819.82/3,613.68
  6. Step 6: Final answer
    x = 17,355.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.