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Finding the Third Proportional to 27,242 and 56,980

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Solution

The third proportional to 27,242 and 56,980 is: 119,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 56,980 = 56,980 : x
  2. Step 2: Convert to fraction form
    27,242/56,980 = 56,980/x
  3. Step 3: Cross multiply
    27,242x = 56,980 × 56,980
  4. Step 4: Simplify right side
    27,242x = 3,246,720,400
  5. Step 5: Solve for x
    x = 3,246,720,400/27,242
  6. Step 6: Final answer
    x = 119,180.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.