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Finding the Third Proportional to 21,170 and 47,733

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Solution

The third proportional to 21,170 and 47,733 is: 107,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170 : 47,733 = 47,733 : x
  2. Step 2: Convert to fraction form
    21,170/47,733 = 47,733/x
  3. Step 3: Cross multiply
    21,170x = 47,733 × 47,733
  4. Step 4: Simplify right side
    21,170x = 2,278,439,289
  5. Step 5: Solve for x
    x = 2,278,439,289/21,170
  6. Step 6: Final answer
    x = 107,625.85

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.