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Finding the Third Proportional to 22,601 and 33,765

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Solution

The third proportional to 22,601 and 33,765 is: 50,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601 : 33,765 = 33,765 : x
  2. Step 2: Convert to fraction form
    22,601/33,765 = 33,765/x
  3. Step 3: Cross multiply
    22,601x = 33,765 × 33,765
  4. Step 4: Simplify right side
    22,601x = 1,140,075,225
  5. Step 5: Solve for x
    x = 1,140,075,225/22,601
  6. Step 6: Final answer
    x = 50,443.57

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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.