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Finding the Third Proportional to 48,694.50 and 73,947

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Solution

The third proportional to 48,694.50 and 73,947 is: 112,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694.50 : 73,947 = 73,947 : x
  2. Step 2: Convert to fraction form
    48,694.50/73,947 = 73,947/x
  3. Step 3: Cross multiply
    48,694.50x = 73,947 × 73,947
  4. Step 4: Simplify right side
    48,694.50x = 5,468,158,809
  5. Step 5: Solve for x
    x = 5,468,158,809/48,694.50
  6. Step 6: Final answer
    x = 112,295.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.