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Finding the Third Proportional to 32,917 and 69,757

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Solution

The third proportional to 32,917 and 69,757 is: 147,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917 : 69,757 = 69,757 : x
  2. Step 2: Convert to fraction form
    32,917/69,757 = 69,757/x
  3. Step 3: Cross multiply
    32,917x = 69,757 × 69,757
  4. Step 4: Simplify right side
    32,917x = 4,866,039,049
  5. Step 5: Solve for x
    x = 4,866,039,049/32,917
  6. Step 6: Final answer
    x = 147,827.54

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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.