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Finding the Third Proportional to 2,449.06 and 5,214.22

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Solution

The third proportional to 2,449.06 and 5,214.22 is: 11,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.06 : 5,214.22 = 5,214.22 : x
  2. Step 2: Convert to fraction form
    2,449.06/5,214.22 = 5,214.22/x
  3. Step 3: Cross multiply
    2,449.06x = 5,214.22 × 5,214.22
  4. Step 4: Simplify right side
    2,449.06x = 27,188,056.80
  5. Step 5: Solve for x
    x = 27,188,056.80/2,449.06
  6. Step 6: Final answer
    x = 11,101.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.