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Finding the Third Proportional to 36,394 and 54,642

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Solution

The third proportional to 36,394 and 54,642 is: 82,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,394 : 54,642 = 54,642 : x
  2. Step 2: Convert to fraction form
    36,394/54,642 = 54,642/x
  3. Step 3: Cross multiply
    36,394x = 54,642 × 54,642
  4. Step 4: Simplify right side
    36,394x = 2,985,748,164
  5. Step 5: Solve for x
    x = 2,985,748,164/36,394
  6. Step 6: Final answer
    x = 82,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.