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Finding the Third Proportional to 36,693 and 80,418

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Solution

The third proportional to 36,693 and 80,418 is: 176,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,693 : 80,418 = 80,418 : x
  2. Step 2: Convert to fraction form
    36,693/80,418 = 80,418/x
  3. Step 3: Cross multiply
    36,693x = 80,418 × 80,418
  4. Step 4: Simplify right side
    36,693x = 6,467,054,724
  5. Step 5: Solve for x
    x = 6,467,054,724/36,693
  6. Step 6: Final answer
    x = 176,247.64

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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.