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Finding the Third Proportional to 17,763 and 37,956

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Solution

The third proportional to 17,763 and 37,956 is: 81,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763 : 37,956 = 37,956 : x
  2. Step 2: Convert to fraction form
    17,763/37,956 = 37,956/x
  3. Step 3: Cross multiply
    17,763x = 37,956 × 37,956
  4. Step 4: Simplify right side
    17,763x = 1,440,657,936
  5. Step 5: Solve for x
    x = 1,440,657,936/17,763
  6. Step 6: Final answer
    x = 81,104.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.