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Finding the Third Proportional to 38,656 and 83,922

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Solution

The third proportional to 38,656 and 83,922 is: 182,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656 : 83,922 = 83,922 : x
  2. Step 2: Convert to fraction form
    38,656/83,922 = 83,922/x
  3. Step 3: Cross multiply
    38,656x = 83,922 × 83,922
  4. Step 4: Simplify right side
    38,656x = 7,042,902,084
  5. Step 5: Solve for x
    x = 7,042,902,084/38,656
  6. Step 6: Final answer
    x = 182,194.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.