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Finding the Third Proportional to 20,086 and 23,002

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Solution

The third proportional to 20,086 and 23,002 is: 26,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086 : 23,002 = 23,002 : x
  2. Step 2: Convert to fraction form
    20,086/23,002 = 23,002/x
  3. Step 3: Cross multiply
    20,086x = 23,002 × 23,002
  4. Step 4: Simplify right side
    20,086x = 529,092,004
  5. Step 5: Solve for x
    x = 529,092,004/20,086
  6. Step 6: Final answer
    x = 26,341.33

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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.