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Finding the Third Proportional to 18,339 and 39,963

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Solution

The third proportional to 18,339 and 39,963 is: 87,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,339 : 39,963 = 39,963 : x
  2. Step 2: Convert to fraction form
    18,339/39,963 = 39,963/x
  3. Step 3: Cross multiply
    18,339x = 39,963 × 39,963
  4. Step 4: Simplify right side
    18,339x = 1,597,041,369
  5. Step 5: Solve for x
    x = 1,597,041,369/18,339
  6. Step 6: Final answer
    x = 87,084.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.