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Finding the Third Proportional to 31,690 and 66,946

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Solution

The third proportional to 31,690 and 66,946 is: 141,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690 : 66,946 = 66,946 : x
  2. Step 2: Convert to fraction form
    31,690/66,946 = 66,946/x
  3. Step 3: Cross multiply
    31,690x = 66,946 × 66,946
  4. Step 4: Simplify right side
    31,690x = 4,481,766,916
  5. Step 5: Solve for x
    x = 4,481,766,916/31,690
  6. Step 6: Final answer
    x = 141,425.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.