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Finding the Third Proportional to 12,232 and 16,788

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Solution

The third proportional to 12,232 and 16,788 is: 23,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232 : 16,788 = 16,788 : x
  2. Step 2: Convert to fraction form
    12,232/16,788 = 16,788/x
  3. Step 3: Cross multiply
    12,232x = 16,788 × 16,788
  4. Step 4: Simplify right side
    12,232x = 281,836,944
  5. Step 5: Solve for x
    x = 281,836,944/12,232
  6. Step 6: Final answer
    x = 23,040.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.