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Finding the Third Proportional to 12,111 and 18,236

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Solution

The third proportional to 12,111 and 18,236 is: 27,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111 : 18,236 = 18,236 : x
  2. Step 2: Convert to fraction form
    12,111/18,236 = 18,236/x
  3. Step 3: Cross multiply
    12,111x = 18,236 × 18,236
  4. Step 4: Simplify right side
    12,111x = 332,551,696
  5. Step 5: Solve for x
    x = 332,551,696/12,111
  6. Step 6: Final answer
    x = 27,458.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.