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Finding the Third Proportional to 38,081 and 59,288

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Solution

The third proportional to 38,081 and 59,288 is: 92,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,081 : 59,288 = 59,288 : x
  2. Step 2: Convert to fraction form
    38,081/59,288 = 59,288/x
  3. Step 3: Cross multiply
    38,081x = 59,288 × 59,288
  4. Step 4: Simplify right side
    38,081x = 3,515,066,944
  5. Step 5: Solve for x
    x = 3,515,066,944/38,081
  6. Step 6: Final answer
    x = 92,305.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.