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Finding the Third Proportional to 22,546 and 48,980

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Solution

The third proportional to 22,546 and 48,980 is: 106,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546 : 48,980 = 48,980 : x
  2. Step 2: Convert to fraction form
    22,546/48,980 = 48,980/x
  3. Step 3: Cross multiply
    22,546x = 48,980 × 48,980
  4. Step 4: Simplify right side
    22,546x = 2,399,040,400
  5. Step 5: Solve for x
    x = 2,399,040,400/22,546
  6. Step 6: Final answer
    x = 106,406.48

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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.