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Finding the Third Proportional to 48,643.25 and 73,961.75

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Solution

The third proportional to 48,643.25 and 73,961.75 is: 112,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.25 : 73,961.75 = 73,961.75 : x
  2. Step 2: Convert to fraction form
    48,643.25/73,961.75 = 73,961.75/x
  3. Step 3: Cross multiply
    48,643.25x = 73,961.75 × 73,961.75
  4. Step 4: Simplify right side
    48,643.25x = 5,470,340,463.06
  5. Step 5: Solve for x
    x = 5,470,340,463.06/48,643.25
  6. Step 6: Final answer
    x = 112,458.37

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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.