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Finding the Third Proportional to 12,186 and 18,813

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Solution

The third proportional to 12,186 and 18,813 is: 29,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 18,813 = 18,813 : x
  2. Step 2: Convert to fraction form
    12,186/18,813 = 18,813/x
  3. Step 3: Cross multiply
    12,186x = 18,813 × 18,813
  4. Step 4: Simplify right side
    12,186x = 353,928,969
  5. Step 5: Solve for x
    x = 353,928,969/12,186
  6. Step 6: Final answer
    x = 29,043.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.