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Finding the Third Proportional to 22,562 and 33,713

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Solution

The third proportional to 22,562 and 33,713 is: 50,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562 : 33,713 = 33,713 : x
  2. Step 2: Convert to fraction form
    22,562/33,713 = 33,713/x
  3. Step 3: Cross multiply
    22,562x = 33,713 × 33,713
  4. Step 4: Simplify right side
    22,562x = 1,136,566,369
  5. Step 5: Solve for x
    x = 1,136,566,369/22,562
  6. Step 6: Final answer
    x = 50,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.