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Finding the Third Proportional to 49,005 and 73,311.75

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Solution

The third proportional to 49,005 and 73,311.75 is: 109,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 73,311.75 = 73,311.75 : x
  2. Step 2: Convert to fraction form
    49,005/73,311.75 = 73,311.75/x
  3. Step 3: Cross multiply
    49,005x = 73,311.75 × 73,311.75
  4. Step 4: Simplify right side
    49,005x = 5,374,612,688.06
  5. Step 5: Solve for x
    x = 5,374,612,688.06/49,005
  6. Step 6: Final answer
    x = 109,674.78

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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.