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Finding the Third Proportional to 37,827 and 57,267

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Solution

The third proportional to 37,827 and 57,267 is: 86,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827 : 57,267 = 57,267 : x
  2. Step 2: Convert to fraction form
    37,827/57,267 = 57,267/x
  3. Step 3: Cross multiply
    37,827x = 57,267 × 57,267
  4. Step 4: Simplify right side
    37,827x = 3,279,509,289
  5. Step 5: Solve for x
    x = 3,279,509,289/37,827
  6. Step 6: Final answer
    x = 86,697.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.