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Finding the Third Proportional to 27,794 and 60,858

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Solution

The third proportional to 27,794 and 60,858 is: 133,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794 : 60,858 = 60,858 : x
  2. Step 2: Convert to fraction form
    27,794/60,858 = 60,858/x
  3. Step 3: Cross multiply
    27,794x = 60,858 × 60,858
  4. Step 4: Simplify right side
    27,794x = 3,703,696,164
  5. Step 5: Solve for x
    x = 3,703,696,164/27,794
  6. Step 6: Final answer
    x = 133,255.24

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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.