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Finding the Third Proportional to 3,298.22 and 4,767.61

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Solution

The third proportional to 3,298.22 and 4,767.61 is: 6,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.22 : 4,767.61 = 4,767.61 : x
  2. Step 2: Convert to fraction form
    3,298.22/4,767.61 = 4,767.61/x
  3. Step 3: Cross multiply
    3,298.22x = 4,767.61 × 4,767.61
  4. Step 4: Simplify right side
    3,298.22x = 22,730,099.15
  5. Step 5: Solve for x
    x = 22,730,099.15/3,298.22
  6. Step 6: Final answer
    x = 6,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.