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Finding the Third Proportional to 21,234 and 33,727

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Solution

The third proportional to 21,234 and 33,727 is: 53,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 33,727 = 33,727 : x
  2. Step 2: Convert to fraction form
    21,234/33,727 = 33,727/x
  3. Step 3: Cross multiply
    21,234x = 33,727 × 33,727
  4. Step 4: Simplify right side
    21,234x = 1,137,510,529
  5. Step 5: Solve for x
    x = 1,137,510,529/21,234
  6. Step 6: Final answer
    x = 53,570.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.