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Finding the Third Proportional to 36,366 and 79,482

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Solution

The third proportional to 36,366 and 79,482 is: 173,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,366 : 79,482 = 79,482 : x
  2. Step 2: Convert to fraction form
    36,366/79,482 = 79,482/x
  3. Step 3: Cross multiply
    36,366x = 79,482 × 79,482
  4. Step 4: Simplify right side
    36,366x = 6,317,388,324
  5. Step 5: Solve for x
    x = 6,317,388,324/36,366
  6. Step 6: Final answer
    x = 173,716.89

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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.