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Finding the Third Proportional to 2,584.13 and 3,653.44

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Solution

The third proportional to 2,584.13 and 3,653.44 is: 5,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.13 : 3,653.44 = 3,653.44 : x
  2. Step 2: Convert to fraction form
    2,584.13/3,653.44 = 3,653.44/x
  3. Step 3: Cross multiply
    2,584.13x = 3,653.44 × 3,653.44
  4. Step 4: Simplify right side
    2,584.13x = 13,347,605.57
  5. Step 5: Solve for x
    x = 13,347,605.57/2,584.13
  6. Step 6: Final answer
    x = 5,165.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.