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Finding the Third Proportional to 22,071 and 33,309

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Solution

The third proportional to 22,071 and 33,309 is: 50,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071 : 33,309 = 33,309 : x
  2. Step 2: Convert to fraction form
    22,071/33,309 = 33,309/x
  3. Step 3: Cross multiply
    22,071x = 33,309 × 33,309
  4. Step 4: Simplify right side
    22,071x = 1,109,489,481
  5. Step 5: Solve for x
    x = 1,109,489,481/22,071
  6. Step 6: Final answer
    x = 50,269.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.