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Finding the Third Proportional to 11,908.13 and 26,166.38

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Solution

The third proportional to 11,908.13 and 26,166.38 is: 57,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.13 : 26,166.38 = 26,166.38 : x
  2. Step 2: Convert to fraction form
    11,908.13/26,166.38 = 26,166.38/x
  3. Step 3: Cross multiply
    11,908.13x = 26,166.38 × 26,166.38
  4. Step 4: Simplify right side
    11,908.13x = 684,679,180.64
  5. Step 5: Solve for x
    x = 684,679,180.64/11,908.13
  6. Step 6: Final answer
    x = 57,496.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.