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Finding the Third Proportional to 11,616 and 27,420

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Solution

The third proportional to 11,616 and 27,420 is: 64,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 27,420 = 27,420 : x
  2. Step 2: Convert to fraction form
    11,616/27,420 = 27,420/x
  3. Step 3: Cross multiply
    11,616x = 27,420 × 27,420
  4. Step 4: Simplify right side
    11,616x = 751,856,400
  5. Step 5: Solve for x
    x = 751,856,400/11,616
  6. Step 6: Final answer
    x = 64,725.93

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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.