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Finding the Third Proportional to 5,537.25 and 12,044.25

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Solution

The third proportional to 5,537.25 and 12,044.25 is: 26,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.25 : 12,044.25 = 12,044.25 : x
  2. Step 2: Convert to fraction form
    5,537.25/12,044.25 = 12,044.25/x
  3. Step 3: Cross multiply
    5,537.25x = 12,044.25 × 12,044.25
  4. Step 4: Simplify right side
    5,537.25x = 145,063,958.06
  5. Step 5: Solve for x
    x = 145,063,958.06/5,537.25
  6. Step 6: Final answer
    x = 26,197.83

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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.