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Finding the Third Proportional to 32,037 and 68,809

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Solution

The third proportional to 32,037 and 68,809 is: 147,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037 : 68,809 = 68,809 : x
  2. Step 2: Convert to fraction form
    32,037/68,809 = 68,809/x
  3. Step 3: Cross multiply
    32,037x = 68,809 × 68,809
  4. Step 4: Simplify right side
    32,037x = 4,734,678,481
  5. Step 5: Solve for x
    x = 4,734,678,481/32,037
  6. Step 6: Final answer
    x = 147,787.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.