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Finding the Third Proportional to 20,190 and 26,181

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Solution

The third proportional to 20,190 and 26,181 is: 33,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190 : 26,181 = 26,181 : x
  2. Step 2: Convert to fraction form
    20,190/26,181 = 26,181/x
  3. Step 3: Cross multiply
    20,190x = 26,181 × 26,181
  4. Step 4: Simplify right side
    20,190x = 685,444,761
  5. Step 5: Solve for x
    x = 685,444,761/20,190
  6. Step 6: Final answer
    x = 33,949.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.