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Finding the Third Proportional to 3,204.56 and 5,319.84

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Solution

The third proportional to 3,204.56 and 5,319.84 is: 8,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 5,319.84 = 5,319.84 : x
  2. Step 2: Convert to fraction form
    3,204.56/5,319.84 = 5,319.84/x
  3. Step 3: Cross multiply
    3,204.56x = 5,319.84 × 5,319.84
  4. Step 4: Simplify right side
    3,204.56x = 28,300,737.52
  5. Step 5: Solve for x
    x = 28,300,737.52/3,204.56
  6. Step 6: Final answer
    x = 8,831.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.