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Finding the Third Proportional to 21,914 and 33,439

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Solution

The third proportional to 21,914 and 33,439 is: 51,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914 : 33,439 = 33,439 : x
  2. Step 2: Convert to fraction form
    21,914/33,439 = 33,439/x
  3. Step 3: Cross multiply
    21,914x = 33,439 × 33,439
  4. Step 4: Simplify right side
    21,914x = 1,118,166,721
  5. Step 5: Solve for x
    x = 1,118,166,721/21,914
  6. Step 6: Final answer
    x = 51,025.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.