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Finding the Third Proportional to 4,161.38 and 5,497.88

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Solution

The third proportional to 4,161.38 and 5,497.88 is: 7,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.38 : 5,497.88 = 5,497.88 : x
  2. Step 2: Convert to fraction form
    4,161.38/5,497.88 = 5,497.88/x
  3. Step 3: Cross multiply
    4,161.38x = 5,497.88 × 5,497.88
  4. Step 4: Simplify right side
    4,161.38x = 30,226,629.52
  5. Step 5: Solve for x
    x = 30,226,629.52/4,161.38
  6. Step 6: Final answer
    x = 7,263.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.