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Finding the Third Proportional to 27,815 and 60,349

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Solution

The third proportional to 27,815 and 60,349 is: 130,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815 : 60,349 = 60,349 : x
  2. Step 2: Convert to fraction form
    27,815/60,349 = 60,349/x
  3. Step 3: Cross multiply
    27,815x = 60,349 × 60,349
  4. Step 4: Simplify right side
    27,815x = 3,642,001,801
  5. Step 5: Solve for x
    x = 3,642,001,801/27,815
  6. Step 6: Final answer
    x = 130,936.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.