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Finding the Third Proportional to 21,864 and 33,765

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Solution

The third proportional to 21,864 and 33,765 is: 52,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 33,765 = 33,765 : x
  2. Step 2: Convert to fraction form
    21,864/33,765 = 33,765/x
  3. Step 3: Cross multiply
    21,864x = 33,765 × 33,765
  4. Step 4: Simplify right side
    21,864x = 1,140,075,225
  5. Step 5: Solve for x
    x = 1,140,075,225/21,864
  6. Step 6: Final answer
    x = 52,143.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.