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Finding the Third Proportional to 21,202 and 33,676

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Solution

The third proportional to 21,202 and 33,676 is: 53,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202 : 33,676 = 33,676 : x
  2. Step 2: Convert to fraction form
    21,202/33,676 = 33,676/x
  3. Step 3: Cross multiply
    21,202x = 33,676 × 33,676
  4. Step 4: Simplify right side
    21,202x = 1,134,072,976
  5. Step 5: Solve for x
    x = 1,134,072,976/21,202
  6. Step 6: Final answer
    x = 53,488.96

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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.