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Finding the Third Proportional to 13,496 and 17,544

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Solution

The third proportional to 13,496 and 17,544 is: 22,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496 : 17,544 = 17,544 : x
  2. Step 2: Convert to fraction form
    13,496/17,544 = 17,544/x
  3. Step 3: Cross multiply
    13,496x = 17,544 × 17,544
  4. Step 4: Simplify right side
    13,496x = 307,791,936
  5. Step 5: Solve for x
    x = 307,791,936/13,496
  6. Step 6: Final answer
    x = 22,806.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.