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Finding the Third Proportional to 13,022.63 and 27,986.75

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Solution

The third proportional to 13,022.63 and 27,986.75 is: 60,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.63 : 27,986.75 = 27,986.75 : x
  2. Step 2: Convert to fraction form
    13,022.63/27,986.75 = 27,986.75/x
  3. Step 3: Cross multiply
    13,022.63x = 27,986.75 × 27,986.75
  4. Step 4: Simplify right side
    13,022.63x = 783,258,175.56
  5. Step 5: Solve for x
    x = 783,258,175.56/13,022.63
  6. Step 6: Final answer
    x = 60,145.95

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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.