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Finding the Third Proportional to 50,479 and 73,882.50

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Solution

The third proportional to 50,479 and 73,882.50 is: 108,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,479 : 73,882.50 = 73,882.50 : x
  2. Step 2: Convert to fraction form
    50,479/73,882.50 = 73,882.50/x
  3. Step 3: Cross multiply
    50,479x = 73,882.50 × 73,882.50
  4. Step 4: Simplify right side
    50,479x = 5,458,623,806.25
  5. Step 5: Solve for x
    x = 5,458,623,806.25/50,479
  6. Step 6: Final answer
    x = 108,136.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.