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Finding the Third Proportional to 2,448.98 and 5,266.05

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Solution

The third proportional to 2,448.98 and 5,266.05 is: 11,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.98 : 5,266.05 = 5,266.05 : x
  2. Step 2: Convert to fraction form
    2,448.98/5,266.05 = 5,266.05/x
  3. Step 3: Cross multiply
    2,448.98x = 5,266.05 × 5,266.05
  4. Step 4: Simplify right side
    2,448.98x = 27,731,331.97
  5. Step 5: Solve for x
    x = 27,731,331.97/2,448.98
  6. Step 6: Final answer
    x = 11,323.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.