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Finding the Third Proportional to 36,963 and 57,357

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Solution

The third proportional to 36,963 and 57,357 is: 89,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963 : 57,357 = 57,357 : x
  2. Step 2: Convert to fraction form
    36,963/57,357 = 57,357/x
  3. Step 3: Cross multiply
    36,963x = 57,357 × 57,357
  4. Step 4: Simplify right side
    36,963x = 3,289,825,449
  5. Step 5: Solve for x
    x = 3,289,825,449/36,963
  6. Step 6: Final answer
    x = 89,003.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.