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Finding the Third Proportional to 36,948 and 57,327

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Solution

The third proportional to 36,948 and 57,327 is: 88,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 57,327 = 57,327 : x
  2. Step 2: Convert to fraction form
    36,948/57,327 = 57,327/x
  3. Step 3: Cross multiply
    36,948x = 57,327 × 57,327
  4. Step 4: Simplify right side
    36,948x = 3,286,384,929
  5. Step 5: Solve for x
    x = 3,286,384,929/36,948
  6. Step 6: Final answer
    x = 88,946.22

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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.