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Finding the Third Proportional to 12,202 and 18,855

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Solution

The third proportional to 12,202 and 18,855 is: 29,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202 : 18,855 = 18,855 : x
  2. Step 2: Convert to fraction form
    12,202/18,855 = 18,855/x
  3. Step 3: Cross multiply
    12,202x = 18,855 × 18,855
  4. Step 4: Simplify right side
    12,202x = 355,511,025
  5. Step 5: Solve for x
    x = 355,511,025/12,202
  6. Step 6: Final answer
    x = 29,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.