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Finding the Third Proportional to 6,540 and 13,728

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Solution

The third proportional to 6,540 and 13,728 is: 28,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 13,728 = 13,728 : x
  2. Step 2: Convert to fraction form
    6,540/13,728 = 13,728/x
  3. Step 3: Cross multiply
    6,540x = 13,728 × 13,728
  4. Step 4: Simplify right side
    6,540x = 188,457,984
  5. Step 5: Solve for x
    x = 188,457,984/6,540
  6. Step 6: Final answer
    x = 28,816.21

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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.