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Finding the Third Proportional to 27,337 and 59,908

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Solution

The third proportional to 27,337 and 59,908 is: 131,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337 : 59,908 = 59,908 : x
  2. Step 2: Convert to fraction form
    27,337/59,908 = 59,908/x
  3. Step 3: Cross multiply
    27,337x = 59,908 × 59,908
  4. Step 4: Simplify right side
    27,337x = 3,588,968,464
  5. Step 5: Solve for x
    x = 3,588,968,464/27,337
  6. Step 6: Final answer
    x = 131,286.11

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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.