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Finding the Third Proportional to 38,066 and 57,098

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Solution

The third proportional to 38,066 and 57,098 is: 85,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066 : 57,098 = 57,098 : x
  2. Step 2: Convert to fraction form
    38,066/57,098 = 57,098/x
  3. Step 3: Cross multiply
    38,066x = 57,098 × 57,098
  4. Step 4: Simplify right side
    38,066x = 3,260,181,604
  5. Step 5: Solve for x
    x = 3,260,181,604/38,066
  6. Step 6: Final answer
    x = 85,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.