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Finding the Third Proportional to 27,787 and 60,844

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Solution

The third proportional to 27,787 and 60,844 is: 133,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787 : 60,844 = 60,844 : x
  2. Step 2: Convert to fraction form
    27,787/60,844 = 60,844/x
  3. Step 3: Cross multiply
    27,787x = 60,844 × 60,844
  4. Step 4: Simplify right side
    27,787x = 3,701,992,336
  5. Step 5: Solve for x
    x = 3,701,992,336/27,787
  6. Step 6: Final answer
    x = 133,227.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.