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Finding the Third Proportional to 38,822 and 83,586

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Solution

The third proportional to 38,822 and 83,586 is: 179,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,822 : 83,586 = 83,586 : x
  2. Step 2: Convert to fraction form
    38,822/83,586 = 83,586/x
  3. Step 3: Cross multiply
    38,822x = 83,586 × 83,586
  4. Step 4: Simplify right side
    38,822x = 6,986,619,396
  5. Step 5: Solve for x
    x = 6,986,619,396/38,822
  6. Step 6: Final answer
    x = 179,965.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.