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Finding the Third Proportional to 38,786 and 83,836

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Solution

The third proportional to 38,786 and 83,836 is: 181,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786 : 83,836 = 83,836 : x
  2. Step 2: Convert to fraction form
    38,786/83,836 = 83,836/x
  3. Step 3: Cross multiply
    38,786x = 83,836 × 83,836
  4. Step 4: Simplify right side
    38,786x = 7,028,474,896
  5. Step 5: Solve for x
    x = 7,028,474,896/38,786
  6. Step 6: Final answer
    x = 181,211.65

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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.