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Finding the Third Proportional to 13,012.88 and 27,645.75

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Solution

The third proportional to 13,012.88 and 27,645.75 is: 58,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.88 : 27,645.75 = 27,645.75 : x
  2. Step 2: Convert to fraction form
    13,012.88/27,645.75 = 27,645.75/x
  3. Step 3: Cross multiply
    13,012.88x = 27,645.75 × 27,645.75
  4. Step 4: Simplify right side
    13,012.88x = 764,287,493.06
  5. Step 5: Solve for x
    x = 764,287,493.06/13,012.88
  6. Step 6: Final answer
    x = 58,733.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.