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Finding the Third Proportional to 27,929 and 59,857

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Solution

The third proportional to 27,929 and 59,857 is: 128,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,929 : 59,857 = 59,857 : x
  2. Step 2: Convert to fraction form
    27,929/59,857 = 59,857/x
  3. Step 3: Cross multiply
    27,929x = 59,857 × 59,857
  4. Step 4: Simplify right side
    27,929x = 3,582,860,449
  5. Step 5: Solve for x
    x = 3,582,860,449/27,929
  6. Step 6: Final answer
    x = 128,284.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.