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Finding the Third Proportional to 27,296.16 and 57,872.81

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Solution

The third proportional to 27,296.16 and 57,872.81 is: 122,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.16 : 57,872.81 = 57,872.81 : x
  2. Step 2: Convert to fraction form
    27,296.16/57,872.81 = 57,872.81/x
  3. Step 3: Cross multiply
    27,296.16x = 57,872.81 × 57,872.81
  4. Step 4: Simplify right side
    27,296.16x = 3,349,262,426.66
  5. Step 5: Solve for x
    x = 3,349,262,426.66/27,296.16
  6. Step 6: Final answer
    x = 122,700.88

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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.