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Finding the Third Proportional to 12,111.50 and 25,949

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Solution

The third proportional to 12,111.50 and 25,949 is: 55,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.50 : 25,949 = 25,949 : x
  2. Step 2: Convert to fraction form
    12,111.50/25,949 = 25,949/x
  3. Step 3: Cross multiply
    12,111.50x = 25,949 × 25,949
  4. Step 4: Simplify right side
    12,111.50x = 673,350,601
  5. Step 5: Solve for x
    x = 673,350,601/12,111.50
  6. Step 6: Final answer
    x = 55,595.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.