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Finding the Third Proportional to 48,336 and 68,064

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Solution

The third proportional to 48,336 and 68,064 is: 95,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,336 : 68,064 = 68,064 : x
  2. Step 2: Convert to fraction form
    48,336/68,064 = 68,064/x
  3. Step 3: Cross multiply
    48,336x = 68,064 × 68,064
  4. Step 4: Simplify right side
    48,336x = 4,632,708,096
  5. Step 5: Solve for x
    x = 4,632,708,096/48,336
  6. Step 6: Final answer
    x = 95,843.85

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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.