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Finding the Third Proportional to 20,765 and 32,241

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Solution

The third proportional to 20,765 and 32,241 is: 50,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765 : 32,241 = 32,241 : x
  2. Step 2: Convert to fraction form
    20,765/32,241 = 32,241/x
  3. Step 3: Cross multiply
    20,765x = 32,241 × 32,241
  4. Step 4: Simplify right side
    20,765x = 1,039,482,081
  5. Step 5: Solve for x
    x = 1,039,482,081/20,765
  6. Step 6: Final answer
    x = 50,059.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.