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Finding the Third Proportional to 16,482 and 36,326

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Solution

The third proportional to 16,482 and 36,326 is: 80,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 36,326 = 36,326 : x
  2. Step 2: Convert to fraction form
    16,482/36,326 = 36,326/x
  3. Step 3: Cross multiply
    16,482x = 36,326 × 36,326
  4. Step 4: Simplify right side
    16,482x = 1,319,578,276
  5. Step 5: Solve for x
    x = 1,319,578,276/16,482
  6. Step 6: Final answer
    x = 80,061.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.