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Finding the Third Proportional to 11,892.66 and 18,284.91

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Solution

The third proportional to 11,892.66 and 18,284.91 is: 28,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.66 : 18,284.91 = 18,284.91 : x
  2. Step 2: Convert to fraction form
    11,892.66/18,284.91 = 18,284.91/x
  3. Step 3: Cross multiply
    11,892.66x = 18,284.91 × 18,284.91
  4. Step 4: Simplify right side
    11,892.66x = 334,337,796.57
  5. Step 5: Solve for x
    x = 334,337,796.57/11,892.66
  6. Step 6: Final answer
    x = 28,112.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.