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Finding the Third Proportional to 20,794 and 24,010

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Solution

The third proportional to 20,794 and 24,010 is: 27,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794 : 24,010 = 24,010 : x
  2. Step 2: Convert to fraction form
    20,794/24,010 = 24,010/x
  3. Step 3: Cross multiply
    20,794x = 24,010 × 24,010
  4. Step 4: Simplify right side
    20,794x = 576,480,100
  5. Step 5: Solve for x
    x = 576,480,100/20,794
  6. Step 6: Final answer
    x = 27,723.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.