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Finding the Third Proportional to 38,010 and 80,941

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Solution

The third proportional to 38,010 and 80,941 is: 172,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,010 : 80,941 = 80,941 : x
  2. Step 2: Convert to fraction form
    38,010/80,941 = 80,941/x
  3. Step 3: Cross multiply
    38,010x = 80,941 × 80,941
  4. Step 4: Simplify right side
    38,010x = 6,551,445,481
  5. Step 5: Solve for x
    x = 6,551,445,481/38,010
  6. Step 6: Final answer
    x = 172,361.10

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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.