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Finding the Third Proportional to 5,204.25 and 7,522.88

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Solution

The third proportional to 5,204.25 and 7,522.88 is: 10,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.25 : 7,522.88 = 7,522.88 : x
  2. Step 2: Convert to fraction form
    5,204.25/7,522.88 = 7,522.88/x
  3. Step 3: Cross multiply
    5,204.25x = 7,522.88 × 7,522.88
  4. Step 4: Simplify right side
    5,204.25x = 56,593,648.27
  5. Step 5: Solve for x
    x = 56,593,648.27/5,204.25
  6. Step 6: Final answer
    x = 10,874.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.