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Finding the Third Proportional to 21,997 and 48,901

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Solution

The third proportional to 21,997 and 48,901 is: 108,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997 : 48,901 = 48,901 : x
  2. Step 2: Convert to fraction form
    21,997/48,901 = 48,901/x
  3. Step 3: Cross multiply
    21,997x = 48,901 × 48,901
  4. Step 4: Simplify right side
    21,997x = 2,391,307,801
  5. Step 5: Solve for x
    x = 2,391,307,801/21,997
  6. Step 6: Final answer
    x = 108,710.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.