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Finding the Third Proportional to 11,826 and 18,810

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Solution

The third proportional to 11,826 and 18,810 is: 29,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 18,810 = 18,810 : x
  2. Step 2: Convert to fraction form
    11,826/18,810 = 18,810/x
  3. Step 3: Cross multiply
    11,826x = 18,810 × 18,810
  4. Step 4: Simplify right side
    11,826x = 353,816,100
  5. Step 5: Solve for x
    x = 353,816,100/11,826
  6. Step 6: Final answer
    x = 29,918.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.