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Finding the Third Proportional to 41,762 and 57,267

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Solution

The third proportional to 41,762 and 57,267 is: 78,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762 : 57,267 = 57,267 : x
  2. Step 2: Convert to fraction form
    41,762/57,267 = 57,267/x
  3. Step 3: Cross multiply
    41,762x = 57,267 × 57,267
  4. Step 4: Simplify right side
    41,762x = 3,279,509,289
  5. Step 5: Solve for x
    x = 3,279,509,289/41,762
  6. Step 6: Final answer
    x = 78,528.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.