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Finding the Third Proportional to 4,272.75 and 10,180.69

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Solution

The third proportional to 4,272.75 and 10,180.69 is: 24,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 10,180.69 = 10,180.69 : x
  2. Step 2: Convert to fraction form
    4,272.75/10,180.69 = 10,180.69/x
  3. Step 3: Cross multiply
    4,272.75x = 10,180.69 × 10,180.69
  4. Step 4: Simplify right side
    4,272.75x = 103,646,397.97
  5. Step 5: Solve for x
    x = 103,646,397.97/4,272.75
  6. Step 6: Final answer
    x = 24,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.