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Finding the Third Proportional to 5,459.91 and 11,736.14

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Solution

The third proportional to 5,459.91 and 11,736.14 is: 25,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.91 : 11,736.14 = 11,736.14 : x
  2. Step 2: Convert to fraction form
    5,459.91/11,736.14 = 11,736.14/x
  3. Step 3: Cross multiply
    5,459.91x = 11,736.14 × 11,736.14
  4. Step 4: Simplify right side
    5,459.91x = 137,736,996.77
  5. Step 5: Solve for x
    x = 137,736,996.77/5,459.91
  6. Step 6: Final answer
    x = 25,226.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.