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Finding the Third Proportional to 3,494.39 and 7,716.52

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Solution

The third proportional to 3,494.39 and 7,716.52 is: 17,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.39 : 7,716.52 = 7,716.52 : x
  2. Step 2: Convert to fraction form
    3,494.39/7,716.52 = 7,716.52/x
  3. Step 3: Cross multiply
    3,494.39x = 7,716.52 × 7,716.52
  4. Step 4: Simplify right side
    3,494.39x = 59,544,613.39
  5. Step 5: Solve for x
    x = 59,544,613.39/3,494.39
  6. Step 6: Final answer
    x = 17,040.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.