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Finding the Third Proportional to 22,086 and 47,693

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Solution

The third proportional to 22,086 and 47,693 is: 102,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 47,693 = 47,693 : x
  2. Step 2: Convert to fraction form
    22,086/47,693 = 47,693/x
  3. Step 3: Cross multiply
    22,086x = 47,693 × 47,693
  4. Step 4: Simplify right side
    22,086x = 2,274,622,249
  5. Step 5: Solve for x
    x = 2,274,622,249/22,086
  6. Step 6: Final answer
    x = 102,989.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.