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Finding the Third Proportional to 38,241 and 83,868.75

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Solution

The third proportional to 38,241 and 83,868.75 is: 183,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241 : 83,868.75 = 83,868.75 : x
  2. Step 2: Convert to fraction form
    38,241/83,868.75 = 83,868.75/x
  3. Step 3: Cross multiply
    38,241x = 83,868.75 × 83,868.75
  4. Step 4: Simplify right side
    38,241x = 7,033,967,226.56
  5. Step 5: Solve for x
    x = 7,033,967,226.56/38,241
  6. Step 6: Final answer
    x = 183,937.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.