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Finding the Third Proportional to 5,867.06 and 12,219.56

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Solution

The third proportional to 5,867.06 and 12,219.56 is: 25,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.06 : 12,219.56 = 12,219.56 : x
  2. Step 2: Convert to fraction form
    5,867.06/12,219.56 = 12,219.56/x
  3. Step 3: Cross multiply
    5,867.06x = 12,219.56 × 12,219.56
  4. Step 4: Simplify right side
    5,867.06x = 149,317,707.69
  5. Step 5: Solve for x
    x = 149,317,707.69/5,867.06
  6. Step 6: Final answer
    x = 25,450.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.