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Finding the Third Proportional to 32,832 and 69,767

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Solution

The third proportional to 32,832 and 69,767 is: 148,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 69,767 = 69,767 : x
  2. Step 2: Convert to fraction form
    32,832/69,767 = 69,767/x
  3. Step 3: Cross multiply
    32,832x = 69,767 × 69,767
  4. Step 4: Simplify right side
    32,832x = 4,867,434,289
  5. Step 5: Solve for x
    x = 4,867,434,289/32,832
  6. Step 6: Final answer
    x = 148,252.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.