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Finding the Third Proportional to 38,022 and 83,496

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Solution

The third proportional to 38,022 and 83,496 is: 183,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022 : 83,496 = 83,496 : x
  2. Step 2: Convert to fraction form
    38,022/83,496 = 83,496/x
  3. Step 3: Cross multiply
    38,022x = 83,496 × 83,496
  4. Step 4: Simplify right side
    38,022x = 6,971,582,016
  5. Step 5: Solve for x
    x = 6,971,582,016/38,022
  6. Step 6: Final answer
    x = 183,356.53

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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.