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Finding the Third Proportional to 21,206 and 33,682

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Solution

The third proportional to 21,206 and 33,682 is: 53,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206 : 33,682 = 33,682 : x
  2. Step 2: Convert to fraction form
    21,206/33,682 = 33,682/x
  3. Step 3: Cross multiply
    21,206x = 33,682 × 33,682
  4. Step 4: Simplify right side
    21,206x = 1,134,477,124
  5. Step 5: Solve for x
    x = 1,134,477,124/21,206
  6. Step 6: Final answer
    x = 53,497.93

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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.