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Finding the Third Proportional to 11,081.81 and 24,008.91

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Solution

The third proportional to 11,081.81 and 24,008.91 is: 52,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.81 : 24,008.91 = 24,008.91 : x
  2. Step 2: Convert to fraction form
    11,081.81/24,008.91 = 24,008.91/x
  3. Step 3: Cross multiply
    11,081.81x = 24,008.91 × 24,008.91
  4. Step 4: Simplify right side
    11,081.81x = 576,427,579.32
  5. Step 5: Solve for x
    x = 576,427,579.32/11,081.81
  6. Step 6: Final answer
    x = 52,015.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.