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Finding the Third Proportional to 36,482 and 79,822

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Solution

The third proportional to 36,482 and 79,822 is: 174,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,482 : 79,822 = 79,822 : x
  2. Step 2: Convert to fraction form
    36,482/79,822 = 79,822/x
  3. Step 3: Cross multiply
    36,482x = 79,822 × 79,822
  4. Step 4: Simplify right side
    36,482x = 6,371,551,684
  5. Step 5: Solve for x
    x = 6,371,551,684/36,482
  6. Step 6: Final answer
    x = 174,649.19

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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.