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Finding the Third Proportional to 21,857 and 47,170

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Solution

The third proportional to 21,857 and 47,170 is: 101,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857 : 47,170 = 47,170 : x
  2. Step 2: Convert to fraction form
    21,857/47,170 = 47,170/x
  3. Step 3: Cross multiply
    21,857x = 47,170 × 47,170
  4. Step 4: Simplify right side
    21,857x = 2,225,008,900
  5. Step 5: Solve for x
    x = 2,225,008,900/21,857
  6. Step 6: Final answer
    x = 101,798.46

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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.