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Finding the Third Proportional to 38,463 and 80,812.50

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Solution

The third proportional to 38,463 and 80,812.50 is: 169,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463 : 80,812.50 = 80,812.50 : x
  2. Step 2: Convert to fraction form
    38,463/80,812.50 = 80,812.50/x
  3. Step 3: Cross multiply
    38,463x = 80,812.50 × 80,812.50
  4. Step 4: Simplify right side
    38,463x = 6,530,660,156.25
  5. Step 5: Solve for x
    x = 6,530,660,156.25/38,463
  6. Step 6: Final answer
    x = 169,790.71

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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.