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Finding the Third Proportional to 31,269 and 66,638

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Solution

The third proportional to 31,269 and 66,638 is: 142,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269 : 66,638 = 66,638 : x
  2. Step 2: Convert to fraction form
    31,269/66,638 = 66,638/x
  3. Step 3: Cross multiply
    31,269x = 66,638 × 66,638
  4. Step 4: Simplify right side
    31,269x = 4,440,623,044
  5. Step 5: Solve for x
    x = 4,440,623,044/31,269
  6. Step 6: Final answer
    x = 142,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.