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Finding the Third Proportional to 31,960 and 60,638

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Solution

The third proportional to 31,960 and 60,638 is: 115,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960 : 60,638 = 60,638 : x
  2. Step 2: Convert to fraction form
    31,960/60,638 = 60,638/x
  3. Step 3: Cross multiply
    31,960x = 60,638 × 60,638
  4. Step 4: Simplify right side
    31,960x = 3,676,967,044
  5. Step 5: Solve for x
    x = 3,676,967,044/31,960
  6. Step 6: Final answer
    x = 115,049.03

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.