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Finding the Third Proportional to 49,222.50 and 73,817.50

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Solution

The third proportional to 49,222.50 and 73,817.50 is: 110,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222.50 : 73,817.50 = 73,817.50 : x
  2. Step 2: Convert to fraction form
    49,222.50/73,817.50 = 73,817.50/x
  3. Step 3: Cross multiply
    49,222.50x = 73,817.50 × 73,817.50
  4. Step 4: Simplify right side
    49,222.50x = 5,449,023,306.25
  5. Step 5: Solve for x
    x = 5,449,023,306.25/49,222.50
  6. Step 6: Final answer
    x = 110,701.88

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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.