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Finding the Third Proportional to 12,728 and 20,324

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Solution

The third proportional to 12,728 and 20,324 is: 32,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728 : 20,324 = 20,324 : x
  2. Step 2: Convert to fraction form
    12,728/20,324 = 20,324/x
  3. Step 3: Cross multiply
    12,728x = 20,324 × 20,324
  4. Step 4: Simplify right side
    12,728x = 413,064,976
  5. Step 5: Solve for x
    x = 413,064,976/12,728
  6. Step 6: Final answer
    x = 32,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.