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Finding the Third Proportional to 27,200.25 and 57,666.38

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Solution

The third proportional to 27,200.25 and 57,666.38 is: 122,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.25 : 57,666.38 = 57,666.38 : x
  2. Step 2: Convert to fraction form
    27,200.25/57,666.38 = 57,666.38/x
  3. Step 3: Cross multiply
    27,200.25x = 57,666.38 × 57,666.38
  4. Step 4: Simplify right side
    27,200.25x = 3,325,410,805.64
  5. Step 5: Solve for x
    x = 3,325,410,805.64/27,200.25
  6. Step 6: Final answer
    x = 122,256.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.