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Finding the Third Proportional to 27,824 and 59,698

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Solution

The third proportional to 27,824 and 59,698 is: 128,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 59,698 = 59,698 : x
  2. Step 2: Convert to fraction form
    27,824/59,698 = 59,698/x
  3. Step 3: Cross multiply
    27,824x = 59,698 × 59,698
  4. Step 4: Simplify right side
    27,824x = 3,563,851,204
  5. Step 5: Solve for x
    x = 3,563,851,204/27,824
  6. Step 6: Final answer
    x = 128,085.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.