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Finding the Third Proportional to 39,882 and 81,813

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Solution

The third proportional to 39,882 and 81,813 is: 167,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882 : 81,813 = 81,813 : x
  2. Step 2: Convert to fraction form
    39,882/81,813 = 81,813/x
  3. Step 3: Cross multiply
    39,882x = 81,813 × 81,813
  4. Step 4: Simplify right side
    39,882x = 6,693,366,969
  5. Step 5: Solve for x
    x = 6,693,366,969/39,882
  6. Step 6: Final answer
    x = 167,829.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.