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Finding the Third Proportional to 44,930 and 67,981

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Solution

The third proportional to 44,930 and 67,981 is: 102,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,930 : 67,981 = 67,981 : x
  2. Step 2: Convert to fraction form
    44,930/67,981 = 67,981/x
  3. Step 3: Cross multiply
    44,930x = 67,981 × 67,981
  4. Step 4: Simplify right side
    44,930x = 4,621,416,361
  5. Step 5: Solve for x
    x = 4,621,416,361/44,930
  6. Step 6: Final answer
    x = 102,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.