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Finding the Third Proportional to 48,678 and 65,961

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Solution

The third proportional to 48,678 and 65,961 is: 89,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,678 : 65,961 = 65,961 : x
  2. Step 2: Convert to fraction form
    48,678/65,961 = 65,961/x
  3. Step 3: Cross multiply
    48,678x = 65,961 × 65,961
  4. Step 4: Simplify right side
    48,678x = 4,350,853,521
  5. Step 5: Solve for x
    x = 4,350,853,521/48,678
  6. Step 6: Final answer
    x = 89,380.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.