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Finding the Third Proportional to 38,036 and 78,496

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Solution

The third proportional to 38,036 and 78,496 is: 161,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036 : 78,496 = 78,496 : x
  2. Step 2: Convert to fraction form
    38,036/78,496 = 78,496/x
  3. Step 3: Cross multiply
    38,036x = 78,496 × 78,496
  4. Step 4: Simplify right side
    38,036x = 6,161,622,016
  5. Step 5: Solve for x
    x = 6,161,622,016/38,036
  6. Step 6: Final answer
    x = 161,994.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.