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Finding the Third Proportional to 2,537.26 and 5,535.84

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Solution

The third proportional to 2,537.26 and 5,535.84 is: 12,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.26 : 5,535.84 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    2,537.26/5,535.84 = 5,535.84/x
  3. Step 3: Cross multiply
    2,537.26x = 5,535.84 × 5,535.84
  4. Step 4: Simplify right side
    2,537.26x = 30,645,566.02
  5. Step 5: Solve for x
    x = 30,645,566.02/2,537.26
  6. Step 6: Final answer
    x = 12,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.