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Finding the Third Proportional to 5,135.91 and 9,622.55

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Solution

The third proportional to 5,135.91 and 9,622.55 is: 18,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.91 : 9,622.55 = 9,622.55 : x
  2. Step 2: Convert to fraction form
    5,135.91/9,622.55 = 9,622.55/x
  3. Step 3: Cross multiply
    5,135.91x = 9,622.55 × 9,622.55
  4. Step 4: Simplify right side
    5,135.91x = 92,593,408.36
  5. Step 5: Solve for x
    x = 92,593,408.36/5,135.91
  6. Step 6: Final answer
    x = 18,028.64

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.