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Finding the Third Proportional to 13,939.50 and 30,981

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Solution

The third proportional to 13,939.50 and 30,981 is: 68,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.50 : 30,981 = 30,981 : x
  2. Step 2: Convert to fraction form
    13,939.50/30,981 = 30,981/x
  3. Step 3: Cross multiply
    13,939.50x = 30,981 × 30,981
  4. Step 4: Simplify right side
    13,939.50x = 959,822,361
  5. Step 5: Solve for x
    x = 959,822,361/13,939.50
  6. Step 6: Final answer
    x = 68,856.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.