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Finding the Third Proportional to 53,947.50 and 80,922

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Solution

The third proportional to 53,947.50 and 80,922 is: 121,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.50 : 80,922 = 80,922 : x
  2. Step 2: Convert to fraction form
    53,947.50/80,922 = 80,922/x
  3. Step 3: Cross multiply
    53,947.50x = 80,922 × 80,922
  4. Step 4: Simplify right side
    53,947.50x = 6,548,370,084
  5. Step 5: Solve for x
    x = 6,548,370,084/53,947.50
  6. Step 6: Final answer
    x = 121,384.13

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Why These Related Problems?

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