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Finding the Third Proportional to 32,450 and 50,108

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Solution

The third proportional to 32,450 and 50,108 is: 77,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450 : 50,108 = 50,108 : x
  2. Step 2: Convert to fraction form
    32,450/50,108 = 50,108/x
  3. Step 3: Cross multiply
    32,450x = 50,108 × 50,108
  4. Step 4: Simplify right side
    32,450x = 2,510,811,664
  5. Step 5: Solve for x
    x = 2,510,811,664/32,450
  6. Step 6: Final answer
    x = 77,374.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.