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Finding the Third Proportional to 13,204 and 27,495

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Solution

The third proportional to 13,204 and 27,495 is: 57,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 27,495 = 27,495 : x
  2. Step 2: Convert to fraction form
    13,204/27,495 = 27,495/x
  3. Step 3: Cross multiply
    13,204x = 27,495 × 27,495
  4. Step 4: Simplify right side
    13,204x = 755,975,025
  5. Step 5: Solve for x
    x = 755,975,025/13,204
  6. Step 6: Final answer
    x = 57,253.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.