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Finding the Third Proportional to 19,761 and 47,622

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Solution

The third proportional to 19,761 and 47,622 is: 114,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761 : 47,622 = 47,622 : x
  2. Step 2: Convert to fraction form
    19,761/47,622 = 47,622/x
  3. Step 3: Cross multiply
    19,761x = 47,622 × 47,622
  4. Step 4: Simplify right side
    19,761x = 2,267,854,884
  5. Step 5: Solve for x
    x = 2,267,854,884/19,761
  6. Step 6: Final answer
    x = 114,764.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.