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Finding the Third Proportional to 13,536 and 17,676

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Solution

The third proportional to 13,536 and 17,676 is: 23,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 17,676 = 17,676 : x
  2. Step 2: Convert to fraction form
    13,536/17,676 = 17,676/x
  3. Step 3: Cross multiply
    13,536x = 17,676 × 17,676
  4. Step 4: Simplify right side
    13,536x = 312,440,976
  5. Step 5: Solve for x
    x = 312,440,976/13,536
  6. Step 6: Final answer
    x = 23,082.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.