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Finding the Third Proportional to 38,036 and 80,320

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Solution

The third proportional to 38,036 and 80,320 is: 169,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036 : 80,320 = 80,320 : x
  2. Step 2: Convert to fraction form
    38,036/80,320 = 80,320/x
  3. Step 3: Cross multiply
    38,036x = 80,320 × 80,320
  4. Step 4: Simplify right side
    38,036x = 6,451,302,400
  5. Step 5: Solve for x
    x = 6,451,302,400/38,036
  6. Step 6: Final answer
    x = 169,610.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.