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Finding the Third Proportional to 37,729 and 81,946

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Solution

The third proportional to 37,729 and 81,946 is: 177,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729 : 81,946 = 81,946 : x
  2. Step 2: Convert to fraction form
    37,729/81,946 = 81,946/x
  3. Step 3: Cross multiply
    37,729x = 81,946 × 81,946
  4. Step 4: Simplify right side
    37,729x = 6,715,146,916
  5. Step 5: Solve for x
    x = 6,715,146,916/37,729
  6. Step 6: Final answer
    x = 177,983.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.