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Finding the Third Proportional to 20,568 and 42,597

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Solution

The third proportional to 20,568 and 42,597 is: 88,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568 : 42,597 = 42,597 : x
  2. Step 2: Convert to fraction form
    20,568/42,597 = 42,597/x
  3. Step 3: Cross multiply
    20,568x = 42,597 × 42,597
  4. Step 4: Simplify right side
    20,568x = 1,814,504,409
  5. Step 5: Solve for x
    x = 1,814,504,409/20,568
  6. Step 6: Final answer
    x = 88,219.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.