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Finding the Third Proportional to 4,670.87 and 9,211.99

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Solution

The third proportional to 4,670.87 and 9,211.99 is: 18,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.87 : 9,211.99 = 9,211.99 : x
  2. Step 2: Convert to fraction form
    4,670.87/9,211.99 = 9,211.99/x
  3. Step 3: Cross multiply
    4,670.87x = 9,211.99 × 9,211.99
  4. Step 4: Simplify right side
    4,670.87x = 84,860,759.58
  5. Step 5: Solve for x
    x = 84,860,759.58/4,670.87
  6. Step 6: Final answer
    x = 18,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.