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Finding the Third Proportional to 22,170 and 47,857

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Solution

The third proportional to 22,170 and 47,857 is: 103,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,170 : 47,857 = 47,857 : x
  2. Step 2: Convert to fraction form
    22,170/47,857 = 47,857/x
  3. Step 3: Cross multiply
    22,170x = 47,857 × 47,857
  4. Step 4: Simplify right side
    22,170x = 2,290,292,449
  5. Step 5: Solve for x
    x = 2,290,292,449/22,170
  6. Step 6: Final answer
    x = 103,305.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.