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Finding the Third Proportional to 45,634.50 and 91,947

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Solution

The third proportional to 45,634.50 and 91,947 is: 185,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634.50 : 91,947 = 91,947 : x
  2. Step 2: Convert to fraction form
    45,634.50/91,947 = 91,947/x
  3. Step 3: Cross multiply
    45,634.50x = 91,947 × 91,947
  4. Step 4: Simplify right side
    45,634.50x = 8,454,250,809
  5. Step 5: Solve for x
    x = 8,454,250,809/45,634.50
  6. Step 6: Final answer
    x = 185,260.07

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.