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Finding the Third Proportional to 36,175 and 52,849

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Solution

The third proportional to 36,175 and 52,849 is: 77,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175 : 52,849 = 52,849 : x
  2. Step 2: Convert to fraction form
    36,175/52,849 = 52,849/x
  3. Step 3: Cross multiply
    36,175x = 52,849 × 52,849
  4. Step 4: Simplify right side
    36,175x = 2,793,016,801
  5. Step 5: Solve for x
    x = 2,793,016,801/36,175
  6. Step 6: Final answer
    x = 77,208.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.