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Finding the Third Proportional to 11,939 and 18,095

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Solution

The third proportional to 11,939 and 18,095 is: 27,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939 : 18,095 = 18,095 : x
  2. Step 2: Convert to fraction form
    11,939/18,095 = 18,095/x
  3. Step 3: Cross multiply
    11,939x = 18,095 × 18,095
  4. Step 4: Simplify right side
    11,939x = 327,429,025
  5. Step 5: Solve for x
    x = 327,429,025/11,939
  6. Step 6: Final answer
    x = 27,425.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.