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Finding the Third Proportional to 3,397.22 and 5,194.69

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Solution

The third proportional to 3,397.22 and 5,194.69 is: 7,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.22 : 5,194.69 = 5,194.69 : x
  2. Step 2: Convert to fraction form
    3,397.22/5,194.69 = 5,194.69/x
  3. Step 3: Cross multiply
    3,397.22x = 5,194.69 × 5,194.69
  4. Step 4: Simplify right side
    3,397.22x = 26,984,778.22
  5. Step 5: Solve for x
    x = 26,984,778.22/3,397.22
  6. Step 6: Final answer
    x = 7,943.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.