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Finding the Third Proportional to 50,950 and 67,951.50

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Solution

The third proportional to 50,950 and 67,951.50 is: 90,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,950 : 67,951.50 = 67,951.50 : x
  2. Step 2: Convert to fraction form
    50,950/67,951.50 = 67,951.50/x
  3. Step 3: Cross multiply
    50,950x = 67,951.50 × 67,951.50
  4. Step 4: Simplify right side
    50,950x = 4,617,406,352.25
  5. Step 5: Solve for x
    x = 4,617,406,352.25/50,950
  6. Step 6: Final answer
    x = 90,626.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.