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Finding the Third Proportional to 36,566 and 79,831

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Solution

The third proportional to 36,566 and 79,831 is: 174,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566 : 79,831 = 79,831 : x
  2. Step 2: Convert to fraction form
    36,566/79,831 = 79,831/x
  3. Step 3: Cross multiply
    36,566x = 79,831 × 79,831
  4. Step 4: Simplify right side
    36,566x = 6,372,988,561
  5. Step 5: Solve for x
    x = 6,372,988,561/36,566
  6. Step 6: Final answer
    x = 174,287.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.