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Finding the Third Proportional to 38,091 and 80,790

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Solution

The third proportional to 38,091 and 80,790 is: 171,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,091 : 80,790 = 80,790 : x
  2. Step 2: Convert to fraction form
    38,091/80,790 = 80,790/x
  3. Step 3: Cross multiply
    38,091x = 80,790 × 80,790
  4. Step 4: Simplify right side
    38,091x = 6,527,024,100
  5. Step 5: Solve for x
    x = 6,527,024,100/38,091
  6. Step 6: Final answer
    x = 171,353.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.