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Finding the Third Proportional to 54,763.25 and 82,388

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Solution

The third proportional to 54,763.25 and 82,388 is: 123,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763.25 : 82,388 = 82,388 : x
  2. Step 2: Convert to fraction form
    54,763.25/82,388 = 82,388/x
  3. Step 3: Cross multiply
    54,763.25x = 82,388 × 82,388
  4. Step 4: Simplify right side
    54,763.25x = 6,787,782,544
  5. Step 5: Solve for x
    x = 6,787,782,544/54,763.25
  6. Step 6: Final answer
    x = 123,947.77

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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.