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Finding the Third Proportional to 27,799 and 59,244

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Solution

The third proportional to 27,799 and 59,244 is: 126,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799 : 59,244 = 59,244 : x
  2. Step 2: Convert to fraction form
    27,799/59,244 = 59,244/x
  3. Step 3: Cross multiply
    27,799x = 59,244 × 59,244
  4. Step 4: Simplify right side
    27,799x = 3,509,851,536
  5. Step 5: Solve for x
    x = 3,509,851,536/27,799
  6. Step 6: Final answer
    x = 126,258.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.