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Finding the Third Proportional to 21,214 and 33,450

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Solution

The third proportional to 21,214 and 33,450 is: 52,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 33,450 = 33,450 : x
  2. Step 2: Convert to fraction form
    21,214/33,450 = 33,450/x
  3. Step 3: Cross multiply
    21,214x = 33,450 × 33,450
  4. Step 4: Simplify right side
    21,214x = 1,118,902,500
  5. Step 5: Solve for x
    x = 1,118,902,500/21,214
  6. Step 6: Final answer
    x = 52,743.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.