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Finding the Third Proportional to 7,144 and 8,728

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Solution

The third proportional to 7,144 and 8,728 is: 10,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 8,728 = 8,728 : x
  2. Step 2: Convert to fraction form
    7,144/8,728 = 8,728/x
  3. Step 3: Cross multiply
    7,144x = 8,728 × 8,728
  4. Step 4: Simplify right side
    7,144x = 76,177,984
  5. Step 5: Solve for x
    x = 76,177,984/7,144
  6. Step 6: Final answer
    x = 10,663.21

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.