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Finding the Third Proportional to 48,261 and 67,962

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Solution

The third proportional to 48,261 and 67,962 is: 95,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,261 : 67,962 = 67,962 : x
  2. Step 2: Convert to fraction form
    48,261/67,962 = 67,962/x
  3. Step 3: Cross multiply
    48,261x = 67,962 × 67,962
  4. Step 4: Simplify right side
    48,261x = 4,618,833,444
  5. Step 5: Solve for x
    x = 4,618,833,444/48,261
  6. Step 6: Final answer
    x = 95,705.30

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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.