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Finding the Third Proportional to 27,411 and 58,980

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Solution

The third proportional to 27,411 and 58,980 is: 126,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411 : 58,980 = 58,980 : x
  2. Step 2: Convert to fraction form
    27,411/58,980 = 58,980/x
  3. Step 3: Cross multiply
    27,411x = 58,980 × 58,980
  4. Step 4: Simplify right side
    27,411x = 3,478,640,400
  5. Step 5: Solve for x
    x = 3,478,640,400/27,411
  6. Step 6: Final answer
    x = 126,906.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.