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Finding the Third Proportional to 48,263 and 67,965

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Solution

The third proportional to 48,263 and 67,965 is: 95,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,263 : 67,965 = 67,965 : x
  2. Step 2: Convert to fraction form
    48,263/67,965 = 67,965/x
  3. Step 3: Cross multiply
    48,263x = 67,965 × 67,965
  4. Step 4: Simplify right side
    48,263x = 4,619,241,225
  5. Step 5: Solve for x
    x = 4,619,241,225/48,263
  6. Step 6: Final answer
    x = 95,709.78

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Why These Related Problems?

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