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Finding the Third Proportional to 32,427 and 69,857

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Solution

The third proportional to 32,427 and 69,857 is: 150,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427 : 69,857 = 69,857 : x
  2. Step 2: Convert to fraction form
    32,427/69,857 = 69,857/x
  3. Step 3: Cross multiply
    32,427x = 69,857 × 69,857
  4. Step 4: Simplify right side
    32,427x = 4,880,000,449
  5. Step 5: Solve for x
    x = 4,880,000,449/32,427
  6. Step 6: Final answer
    x = 150,491.89

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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.