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Finding the Third Proportional to 11,985 and 25,212

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Solution

The third proportional to 11,985 and 25,212 is: 53,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985 : 25,212 = 25,212 : x
  2. Step 2: Convert to fraction form
    11,985/25,212 = 25,212/x
  3. Step 3: Cross multiply
    11,985x = 25,212 × 25,212
  4. Step 4: Simplify right side
    11,985x = 635,644,944
  5. Step 5: Solve for x
    x = 635,644,944/11,985
  6. Step 6: Final answer
    x = 53,036.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.