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Finding the Third Proportional to 22,370 and 33,609

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Solution

The third proportional to 22,370 and 33,609 is: 50,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 33,609 = 33,609 : x
  2. Step 2: Convert to fraction form
    22,370/33,609 = 33,609/x
  3. Step 3: Cross multiply
    22,370x = 33,609 × 33,609
  4. Step 4: Simplify right side
    22,370x = 1,129,564,881
  5. Step 5: Solve for x
    x = 1,129,564,881/22,370
  6. Step 6: Final answer
    x = 50,494.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.