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Finding the Third Proportional to 38,662 and 59,738

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Solution

The third proportional to 38,662 and 59,738 is: 92,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662 : 59,738 = 59,738 : x
  2. Step 2: Convert to fraction form
    38,662/59,738 = 59,738/x
  3. Step 3: Cross multiply
    38,662x = 59,738 × 59,738
  4. Step 4: Simplify right side
    38,662x = 3,568,628,644
  5. Step 5: Solve for x
    x = 3,568,628,644/38,662
  6. Step 6: Final answer
    x = 92,303.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.