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Finding the Third Proportional to 14,524 and 21,728

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Solution

The third proportional to 14,524 and 21,728 is: 32,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524 : 21,728 = 21,728 : x
  2. Step 2: Convert to fraction form
    14,524/21,728 = 21,728/x
  3. Step 3: Cross multiply
    14,524x = 21,728 × 21,728
  4. Step 4: Simplify right side
    14,524x = 472,105,984
  5. Step 5: Solve for x
    x = 472,105,984/14,524
  6. Step 6: Final answer
    x = 32,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.