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Finding the Third Proportional to 40,886 and 54,947

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Solution

The third proportional to 40,886 and 54,947 is: 73,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,886 : 54,947 = 54,947 : x
  2. Step 2: Convert to fraction form
    40,886/54,947 = 54,947/x
  3. Step 3: Cross multiply
    40,886x = 54,947 × 54,947
  4. Step 4: Simplify right side
    40,886x = 3,019,172,809
  5. Step 5: Solve for x
    x = 3,019,172,809/40,886
  6. Step 6: Final answer
    x = 73,843.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.