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Finding the Third Proportional to 27,000.75 and 55,725.38

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Solution

The third proportional to 27,000.75 and 55,725.38 is: 115,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.75 : 55,725.38 = 55,725.38 : x
  2. Step 2: Convert to fraction form
    27,000.75/55,725.38 = 55,725.38/x
  3. Step 3: Cross multiply
    27,000.75x = 55,725.38 × 55,725.38
  4. Step 4: Simplify right side
    27,000.75x = 3,105,317,418.89
  5. Step 5: Solve for x
    x = 3,105,317,418.89/27,000.75
  6. Step 6: Final answer
    x = 115,008.56

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.