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Finding the Third Proportional to 27,987 and 61,062

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Solution

The third proportional to 27,987 and 61,062 is: 133,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987 : 61,062 = 61,062 : x
  2. Step 2: Convert to fraction form
    27,987/61,062 = 61,062/x
  3. Step 3: Cross multiply
    27,987x = 61,062 × 61,062
  4. Step 4: Simplify right side
    27,987x = 3,728,567,844
  5. Step 5: Solve for x
    x = 3,728,567,844/27,987
  6. Step 6: Final answer
    x = 133,224.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.