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Finding the Third Proportional to 27,805 and 60,086

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Solution

The third proportional to 27,805 and 60,086 is: 129,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805 : 60,086 = 60,086 : x
  2. Step 2: Convert to fraction form
    27,805/60,086 = 60,086/x
  3. Step 3: Cross multiply
    27,805x = 60,086 × 60,086
  4. Step 4: Simplify right side
    27,805x = 3,610,327,396
  5. Step 5: Solve for x
    x = 3,610,327,396/27,805
  6. Step 6: Final answer
    x = 129,844.54

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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.