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Finding the Third Proportional to 27,142.50 and 55,601

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Solution

The third proportional to 27,142.50 and 55,601 is: 113,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.50 : 55,601 = 55,601 : x
  2. Step 2: Convert to fraction form
    27,142.50/55,601 = 55,601/x
  3. Step 3: Cross multiply
    27,142.50x = 55,601 × 55,601
  4. Step 4: Simplify right side
    27,142.50x = 3,091,471,201
  5. Step 5: Solve for x
    x = 3,091,471,201/27,142.50
  6. Step 6: Final answer
    x = 113,897.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.