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Finding the Third Proportional to 48,450 and 65,108

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Solution

The third proportional to 48,450 and 65,108 is: 87,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,450 : 65,108 = 65,108 : x
  2. Step 2: Convert to fraction form
    48,450/65,108 = 65,108/x
  3. Step 3: Cross multiply
    48,450x = 65,108 × 65,108
  4. Step 4: Simplify right side
    48,450x = 4,239,051,664
  5. Step 5: Solve for x
    x = 4,239,051,664/48,450
  6. Step 6: Final answer
    x = 87,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.