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Finding the Third Proportional to 36,894 and 80,042

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Solution

The third proportional to 36,894 and 80,042 is: 173,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 80,042 = 80,042 : x
  2. Step 2: Convert to fraction form
    36,894/80,042 = 80,042/x
  3. Step 3: Cross multiply
    36,894x = 80,042 × 80,042
  4. Step 4: Simplify right side
    36,894x = 6,406,721,764
  5. Step 5: Solve for x
    x = 6,406,721,764/36,894
  6. Step 6: Final answer
    x = 173,652.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.