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Finding the Third Proportional to 11,775 and 27,237

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Solution

The third proportional to 11,775 and 27,237 is: 63,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775 : 27,237 = 27,237 : x
  2. Step 2: Convert to fraction form
    11,775/27,237 = 27,237/x
  3. Step 3: Cross multiply
    11,775x = 27,237 × 27,237
  4. Step 4: Simplify right side
    11,775x = 741,854,169
  5. Step 5: Solve for x
    x = 741,854,169/11,775
  6. Step 6: Final answer
    x = 63,002.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.