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Finding the Third Proportional to 36,808 and 79,448

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Solution

The third proportional to 36,808 and 79,448 is: 171,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,808 : 79,448 = 79,448 : x
  2. Step 2: Convert to fraction form
    36,808/79,448 = 79,448/x
  3. Step 3: Cross multiply
    36,808x = 79,448 × 79,448
  4. Step 4: Simplify right side
    36,808x = 6,311,984,704
  5. Step 5: Solve for x
    x = 6,311,984,704/36,808
  6. Step 6: Final answer
    x = 171,484.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.