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Finding the Third Proportional to 36,366 and 79,308

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Solution

The third proportional to 36,366 and 79,308 is: 172,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,366 : 79,308 = 79,308 : x
  2. Step 2: Convert to fraction form
    36,366/79,308 = 79,308/x
  3. Step 3: Cross multiply
    36,366x = 79,308 × 79,308
  4. Step 4: Simplify right side
    36,366x = 6,289,758,864
  5. Step 5: Solve for x
    x = 6,289,758,864/36,366
  6. Step 6: Final answer
    x = 172,957.13

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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.