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Finding the Third Proportional to 36,011 and 54,514

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Solution

The third proportional to 36,011 and 54,514 is: 82,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,011 : 54,514 = 54,514 : x
  2. Step 2: Convert to fraction form
    36,011/54,514 = 54,514/x
  3. Step 3: Cross multiply
    36,011x = 54,514 × 54,514
  4. Step 4: Simplify right side
    36,011x = 2,971,776,196
  5. Step 5: Solve for x
    x = 2,971,776,196/36,011
  6. Step 6: Final answer
    x = 82,524.12

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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.