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Finding the Third Proportional to 32,856 and 48,912

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Solution

The third proportional to 32,856 and 48,912 is: 72,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856 : 48,912 = 48,912 : x
  2. Step 2: Convert to fraction form
    32,856/48,912 = 48,912/x
  3. Step 3: Cross multiply
    32,856x = 48,912 × 48,912
  4. Step 4: Simplify right side
    32,856x = 2,392,383,744
  5. Step 5: Solve for x
    x = 2,392,383,744/32,856
  6. Step 6: Final answer
    x = 72,814.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.