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Finding the Third Proportional to 36,327 and 54,701

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Solution

The third proportional to 36,327 and 54,701 is: 82,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,327 : 54,701 = 54,701 : x
  2. Step 2: Convert to fraction form
    36,327/54,701 = 54,701/x
  3. Step 3: Cross multiply
    36,327x = 54,701 × 54,701
  4. Step 4: Simplify right side
    36,327x = 2,992,199,401
  5. Step 5: Solve for x
    x = 2,992,199,401/36,327
  6. Step 6: Final answer
    x = 82,368.47

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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.