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Finding the Third Proportional to 3,212.16 and 5,034.66

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Solution

The third proportional to 3,212.16 and 5,034.66 is: 7,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 5,034.66 = 5,034.66 : x
  2. Step 2: Convert to fraction form
    3,212.16/5,034.66 = 5,034.66/x
  3. Step 3: Cross multiply
    3,212.16x = 5,034.66 × 5,034.66
  4. Step 4: Simplify right side
    3,212.16x = 25,347,763.56
  5. Step 5: Solve for x
    x = 25,347,763.56/3,212.16
  6. Step 6: Final answer
    x = 7,891.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.