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Finding the Third Proportional to 2,469.66 and 5,457.80

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Solution

The third proportional to 2,469.66 and 5,457.80 is: 12,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.66 : 5,457.80 = 5,457.80 : x
  2. Step 2: Convert to fraction form
    2,469.66/5,457.80 = 5,457.80/x
  3. Step 3: Cross multiply
    2,469.66x = 5,457.80 × 5,457.80
  4. Step 4: Simplify right side
    2,469.66x = 29,787,546.73
  5. Step 5: Solve for x
    x = 29,787,546.73/2,469.66
  6. Step 6: Final answer
    x = 12,061.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.