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Finding the Third Proportional to 5,981.06 and 12,260.81

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Solution

The third proportional to 5,981.06 and 12,260.81 is: 25,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.06 : 12,260.81 = 12,260.81 : x
  2. Step 2: Convert to fraction form
    5,981.06/12,260.81 = 12,260.81/x
  3. Step 3: Cross multiply
    5,981.06x = 12,260.81 × 12,260.81
  4. Step 4: Simplify right side
    5,981.06x = 150,327,523.16
  5. Step 5: Solve for x
    x = 150,327,523.16/5,981.06
  6. Step 6: Final answer
    x = 25,133.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.