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Finding the Third Proportional to 13,492 and 27,519

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Solution

The third proportional to 13,492 and 27,519 is: 56,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492 : 27,519 = 27,519 : x
  2. Step 2: Convert to fraction form
    13,492/27,519 = 27,519/x
  3. Step 3: Cross multiply
    13,492x = 27,519 × 27,519
  4. Step 4: Simplify right side
    13,492x = 757,295,361
  5. Step 5: Solve for x
    x = 757,295,361/13,492
  6. Step 6: Final answer
    x = 56,129.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.