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Finding the Third Proportional to 5,806.69 and 12,433.22

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Solution

The third proportional to 5,806.69 and 12,433.22 is: 26,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.69 : 12,433.22 = 12,433.22 : x
  2. Step 2: Convert to fraction form
    5,806.69/12,433.22 = 12,433.22/x
  3. Step 3: Cross multiply
    5,806.69x = 12,433.22 × 12,433.22
  4. Step 4: Simplify right side
    5,806.69x = 154,584,928.49
  5. Step 5: Solve for x
    x = 154,584,928.49/5,806.69
  6. Step 6: Final answer
    x = 26,621.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.