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Finding the Third Proportional to 21,873 and 33,933

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Solution

The third proportional to 21,873 and 33,933 is: 52,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873 : 33,933 = 33,933 : x
  2. Step 2: Convert to fraction form
    21,873/33,933 = 33,933/x
  3. Step 3: Cross multiply
    21,873x = 33,933 × 33,933
  4. Step 4: Simplify right side
    21,873x = 1,151,448,489
  5. Step 5: Solve for x
    x = 1,151,448,489/21,873
  6. Step 6: Final answer
    x = 52,642.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.