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Finding the Third Proportional to 2,453.97 and 3,504.75

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Solution

The third proportional to 2,453.97 and 3,504.75 is: 5,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.97 : 3,504.75 = 3,504.75 : x
  2. Step 2: Convert to fraction form
    2,453.97/3,504.75 = 3,504.75/x
  3. Step 3: Cross multiply
    2,453.97x = 3,504.75 × 3,504.75
  4. Step 4: Simplify right side
    2,453.97x = 12,283,293.10
  5. Step 5: Solve for x
    x = 12,283,293.10/2,453.97
  6. Step 6: Final answer
    x = 5,005.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.