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Finding the Third Proportional to 38,867 and 83,681

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Solution

The third proportional to 38,867 and 83,681 is: 180,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867 : 83,681 = 83,681 : x
  2. Step 2: Convert to fraction form
    38,867/83,681 = 83,681/x
  3. Step 3: Cross multiply
    38,867x = 83,681 × 83,681
  4. Step 4: Simplify right side
    38,867x = 7,002,509,761
  5. Step 5: Solve for x
    x = 7,002,509,761/38,867
  6. Step 6: Final answer
    x = 180,165.94

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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.