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Finding the Third Proportional to 34,013 and 49,981

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Solution

The third proportional to 34,013 and 49,981 is: 73,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013 : 49,981 = 49,981 : x
  2. Step 2: Convert to fraction form
    34,013/49,981 = 49,981/x
  3. Step 3: Cross multiply
    34,013x = 49,981 × 49,981
  4. Step 4: Simplify right side
    34,013x = 2,498,100,361
  5. Step 5: Solve for x
    x = 2,498,100,361/34,013
  6. Step 6: Final answer
    x = 73,445.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.