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Finding the Third Proportional to 20,997 and 30,123

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Solution

The third proportional to 20,997 and 30,123 is: 43,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 30,123 = 30,123 : x
  2. Step 2: Convert to fraction form
    20,997/30,123 = 30,123/x
  3. Step 3: Cross multiply
    20,997x = 30,123 × 30,123
  4. Step 4: Simplify right side
    20,997x = 907,395,129
  5. Step 5: Solve for x
    x = 907,395,129/20,997
  6. Step 6: Final answer
    x = 43,215.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.