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Finding the Third Proportional to 22,086 and 47,912

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Solution

The third proportional to 22,086 and 47,912 is: 103,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086 : 47,912 = 47,912 : x
  2. Step 2: Convert to fraction form
    22,086/47,912 = 47,912/x
  3. Step 3: Cross multiply
    22,086x = 47,912 × 47,912
  4. Step 4: Simplify right side
    22,086x = 2,295,559,744
  5. Step 5: Solve for x
    x = 2,295,559,744/22,086
  6. Step 6: Final answer
    x = 103,937.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.