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Finding the Third Proportional to 27,697.13 and 57,027.38

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Solution

The third proportional to 27,697.13 and 57,027.38 is: 117,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.13 : 57,027.38 = 57,027.38 : x
  2. Step 2: Convert to fraction form
    27,697.13/57,027.38 = 57,027.38/x
  3. Step 3: Cross multiply
    27,697.13x = 57,027.38 × 57,027.38
  4. Step 4: Simplify right side
    27,697.13x = 3,252,121,499.39
  5. Step 5: Solve for x
    x = 3,252,121,499.39/27,697.13
  6. Step 6: Final answer
    x = 117,417.30

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Why These Related Problems?

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