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Finding the Third Proportional to 47,398 and 73,947

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Solution

The third proportional to 47,398 and 73,947 is: 115,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398 : 73,947 = 73,947 : x
  2. Step 2: Convert to fraction form
    47,398/73,947 = 73,947/x
  3. Step 3: Cross multiply
    47,398x = 73,947 × 73,947
  4. Step 4: Simplify right side
    47,398x = 5,468,158,809
  5. Step 5: Solve for x
    x = 5,468,158,809/47,398
  6. Step 6: Final answer
    x = 115,366.87

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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.