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Finding the Third Proportional to 38,844 and 83,223

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Solution

The third proportional to 38,844 and 83,223 is: 178,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844 : 83,223 = 83,223 : x
  2. Step 2: Convert to fraction form
    38,844/83,223 = 83,223/x
  3. Step 3: Cross multiply
    38,844x = 83,223 × 83,223
  4. Step 4: Simplify right side
    38,844x = 6,926,067,729
  5. Step 5: Solve for x
    x = 6,926,067,729/38,844
  6. Step 6: Final answer
    x = 178,304.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.