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Finding the Third Proportional to 11,576 and 27,314

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Solution

The third proportional to 11,576 and 27,314 is: 64,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 27,314 = 27,314 : x
  2. Step 2: Convert to fraction form
    11,576/27,314 = 27,314/x
  3. Step 3: Cross multiply
    11,576x = 27,314 × 27,314
  4. Step 4: Simplify right side
    11,576x = 746,054,596
  5. Step 5: Solve for x
    x = 746,054,596/11,576
  6. Step 6: Final answer
    x = 64,448.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.