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Finding the Third Proportional to 38,462.63 and 80,812.69

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Solution

The third proportional to 38,462.63 and 80,812.69 is: 169,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.63 : 80,812.69 = 80,812.69 : x
  2. Step 2: Convert to fraction form
    38,462.63/80,812.69 = 80,812.69/x
  3. Step 3: Cross multiply
    38,462.63x = 80,812.69 × 80,812.69
  4. Step 4: Simplify right side
    38,462.63x = 6,530,690,460.97
  5. Step 5: Solve for x
    x = 6,530,690,460.97/38,462.63
  6. Step 6: Final answer
    x = 169,793.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.