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Finding the Third Proportional to 50,815.50 and 71,493

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Solution

The third proportional to 50,815.50 and 71,493 is: 100,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,815.50 : 71,493 = 71,493 : x
  2. Step 2: Convert to fraction form
    50,815.50/71,493 = 71,493/x
  3. Step 3: Cross multiply
    50,815.50x = 71,493 × 71,493
  4. Step 4: Simplify right side
    50,815.50x = 5,111,249,049
  5. Step 5: Solve for x
    x = 5,111,249,049/50,815.50
  6. Step 6: Final answer
    x = 100,584.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.