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Finding the Third Proportional to 36,897 and 80,721

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Solution

The third proportional to 36,897 and 80,721 is: 176,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897 : 80,721 = 80,721 : x
  2. Step 2: Convert to fraction form
    36,897/80,721 = 80,721/x
  3. Step 3: Cross multiply
    36,897x = 80,721 × 80,721
  4. Step 4: Simplify right side
    36,897x = 6,515,879,841
  5. Step 5: Solve for x
    x = 6,515,879,841/36,897
  6. Step 6: Final answer
    x = 176,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.