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Finding the Third Proportional to 49,184 and 73,825

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Solution

The third proportional to 49,184 and 73,825 is: 110,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,184 : 73,825 = 73,825 : x
  2. Step 2: Convert to fraction form
    49,184/73,825 = 73,825/x
  3. Step 3: Cross multiply
    49,184x = 73,825 × 73,825
  4. Step 4: Simplify right side
    49,184x = 5,450,130,625
  5. Step 5: Solve for x
    x = 5,450,130,625/49,184
  6. Step 6: Final answer
    x = 110,811.05

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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.