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Finding the Third Proportional to 13,252 and 27,865

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Solution

The third proportional to 13,252 and 27,865 is: 58,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252 : 27,865 = 27,865 : x
  2. Step 2: Convert to fraction form
    13,252/27,865 = 27,865/x
  3. Step 3: Cross multiply
    13,252x = 27,865 × 27,865
  4. Step 4: Simplify right side
    13,252x = 776,458,225
  5. Step 5: Solve for x
    x = 776,458,225/13,252
  6. Step 6: Final answer
    x = 58,591.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.