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Finding the Third Proportional to 38,013 and 80,943

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Solution

The third proportional to 38,013 and 80,943 is: 172,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013 : 80,943 = 80,943 : x
  2. Step 2: Convert to fraction form
    38,013/80,943 = 80,943/x
  3. Step 3: Cross multiply
    38,013x = 80,943 × 80,943
  4. Step 4: Simplify right side
    38,013x = 6,551,769,249
  5. Step 5: Solve for x
    x = 6,551,769,249/38,013
  6. Step 6: Final answer
    x = 172,356.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.