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Finding the Third Proportional to 49,048.88 and 75,932.44

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Solution

The third proportional to 49,048.88 and 75,932.44 is: 117,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,048.88 : 75,932.44 = 75,932.44 : x
  2. Step 2: Convert to fraction form
    49,048.88/75,932.44 = 75,932.44/x
  3. Step 3: Cross multiply
    49,048.88x = 75,932.44 × 75,932.44
  4. Step 4: Simplify right side
    49,048.88x = 5,765,735,064.69
  5. Step 5: Solve for x
    x = 5,765,735,064.69/49,048.88
  6. Step 6: Final answer
    x = 117,550.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.