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Finding the Third Proportional to 44,638 and 93,874

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Solution

The third proportional to 44,638 and 93,874 is: 197,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,638 : 93,874 = 93,874 : x
  2. Step 2: Convert to fraction form
    44,638/93,874 = 93,874/x
  3. Step 3: Cross multiply
    44,638x = 93,874 × 93,874
  4. Step 4: Simplify right side
    44,638x = 8,812,327,876
  5. Step 5: Solve for x
    x = 8,812,327,876/44,638
  6. Step 6: Final answer
    x = 197,417.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.