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Finding the Third Proportional to 9,806.06 and 21,591.56

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Solution

The third proportional to 9,806.06 and 21,591.56 is: 47,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.06 : 21,591.56 = 21,591.56 : x
  2. Step 2: Convert to fraction form
    9,806.06/21,591.56 = 21,591.56/x
  3. Step 3: Cross multiply
    9,806.06x = 21,591.56 × 21,591.56
  4. Step 4: Simplify right side
    9,806.06x = 466,195,571.19
  5. Step 5: Solve for x
    x = 466,195,571.19/9,806.06
  6. Step 6: Final answer
    x = 47,541.57

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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.