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Finding the Third Proportional to 11,950.88 and 32,513.06

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Solution

The third proportional to 11,950.88 and 32,513.06 is: 88,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.88 : 32,513.06 = 32,513.06 : x
  2. Step 2: Convert to fraction form
    11,950.88/32,513.06 = 32,513.06/x
  3. Step 3: Cross multiply
    11,950.88x = 32,513.06 × 32,513.06
  4. Step 4: Simplify right side
    11,950.88x = 1,057,099,233.13
  5. Step 5: Solve for x
    x = 1,057,099,233.13/11,950.88
  6. Step 6: Final answer
    x = 88,453.71

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.