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Finding the Third Proportional to 38,986 and 60,756

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Solution

The third proportional to 38,986 and 60,756 is: 94,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986 : 60,756 = 60,756 : x
  2. Step 2: Convert to fraction form
    38,986/60,756 = 60,756/x
  3. Step 3: Cross multiply
    38,986x = 60,756 × 60,756
  4. Step 4: Simplify right side
    38,986x = 3,691,291,536
  5. Step 5: Solve for x
    x = 3,691,291,536/38,986
  6. Step 6: Final answer
    x = 94,682.49

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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.