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Finding the Third Proportional to 1,149.74 and 2,453.26

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Solution

The third proportional to 1,149.74 and 2,453.26 is: 5,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.74 : 2,453.26 = 2,453.26 : x
  2. Step 2: Convert to fraction form
    1,149.74/2,453.26 = 2,453.26/x
  3. Step 3: Cross multiply
    1,149.74x = 2,453.26 × 2,453.26
  4. Step 4: Simplify right side
    1,149.74x = 6,018,464.31
  5. Step 5: Solve for x
    x = 6,018,464.31/1,149.74
  6. Step 6: Final answer
    x = 5,234.63

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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.