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Finding the Third Proportional to 38,867 and 61,805

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Solution

The third proportional to 38,867 and 61,805 is: 98,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867 : 61,805 = 61,805 : x
  2. Step 2: Convert to fraction form
    38,867/61,805 = 61,805/x
  3. Step 3: Cross multiply
    38,867x = 61,805 × 61,805
  4. Step 4: Simplify right side
    38,867x = 3,819,858,025
  5. Step 5: Solve for x
    x = 3,819,858,025/38,867
  6. Step 6: Final answer
    x = 98,280.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.