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Finding the Third Proportional to 47,986 and 71,947

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Solution

The third proportional to 47,986 and 71,947 is: 107,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,986 : 71,947 = 71,947 : x
  2. Step 2: Convert to fraction form
    47,986/71,947 = 71,947/x
  3. Step 3: Cross multiply
    47,986x = 71,947 × 71,947
  4. Step 4: Simplify right side
    47,986x = 5,176,370,809
  5. Step 5: Solve for x
    x = 5,176,370,809/47,986
  6. Step 6: Final answer
    x = 107,872.52

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