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Finding the Third Proportional to 6,523.03 and 17,044.17

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Solution

The third proportional to 6,523.03 and 17,044.17 is: 44,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.03 : 17,044.17 = 17,044.17 : x
  2. Step 2: Convert to fraction form
    6,523.03/17,044.17 = 17,044.17/x
  3. Step 3: Cross multiply
    6,523.03x = 17,044.17 × 17,044.17
  4. Step 4: Simplify right side
    6,523.03x = 290,503,794.90
  5. Step 5: Solve for x
    x = 290,503,794.90/6,523.03
  6. Step 6: Final answer
    x = 44,535.09

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.