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Finding the Third Proportional to 5,660.63 and 12,441.75

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Solution

The third proportional to 5,660.63 and 12,441.75 is: 27,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.63 : 12,441.75 = 12,441.75 : x
  2. Step 2: Convert to fraction form
    5,660.63/12,441.75 = 12,441.75/x
  3. Step 3: Cross multiply
    5,660.63x = 12,441.75 × 12,441.75
  4. Step 4: Simplify right side
    5,660.63x = 154,797,143.06
  5. Step 5: Solve for x
    x = 154,797,143.06/5,660.63
  6. Step 6: Final answer
    x = 27,346.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.