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Finding the Third Proportional to 12,832 and 18,803

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Solution

The third proportional to 12,832 and 18,803 is: 27,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832 : 18,803 = 18,803 : x
  2. Step 2: Convert to fraction form
    12,832/18,803 = 18,803/x
  3. Step 3: Cross multiply
    12,832x = 18,803 × 18,803
  4. Step 4: Simplify right side
    12,832x = 353,552,809
  5. Step 5: Solve for x
    x = 353,552,809/12,832
  6. Step 6: Final answer
    x = 27,552.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.