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Finding the Third Proportional to 2,446.39 and 5,453.07

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Solution

The third proportional to 2,446.39 and 5,453.07 is: 12,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.39 : 5,453.07 = 5,453.07 : x
  2. Step 2: Convert to fraction form
    2,446.39/5,453.07 = 5,453.07/x
  3. Step 3: Cross multiply
    2,446.39x = 5,453.07 × 5,453.07
  4. Step 4: Simplify right side
    2,446.39x = 29,736,018.44
  5. Step 5: Solve for x
    x = 29,736,018.44/2,446.39
  6. Step 6: Final answer
    x = 12,155.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.