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Finding the Third Proportional to 20,211 and 22,047

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Solution

The third proportional to 20,211 and 22,047 is: 24,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211 : 22,047 = 22,047 : x
  2. Step 2: Convert to fraction form
    20,211/22,047 = 22,047/x
  3. Step 3: Cross multiply
    20,211x = 22,047 × 22,047
  4. Step 4: Simplify right side
    20,211x = 486,070,209
  5. Step 5: Solve for x
    x = 486,070,209/20,211
  6. Step 6: Final answer
    x = 24,049.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.