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Finding the Third Proportional to 48,039.75 and 73,221.47

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Solution

The third proportional to 48,039.75 and 73,221.47 is: 111,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039.75 : 73,221.47 = 73,221.47 : x
  2. Step 2: Convert to fraction form
    48,039.75/73,221.47 = 73,221.47/x
  3. Step 3: Cross multiply
    48,039.75x = 73,221.47 × 73,221.47
  4. Step 4: Simplify right side
    48,039.75x = 5,361,383,485.91
  5. Step 5: Solve for x
    x = 5,361,383,485.91/48,039.75
  6. Step 6: Final answer
    x = 111,603.07

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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.