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Finding the Third Proportional to 4,059 and 9,690.75

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Solution

The third proportional to 4,059 and 9,690.75 is: 23,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059 : 9,690.75 = 9,690.75 : x
  2. Step 2: Convert to fraction form
    4,059/9,690.75 = 9,690.75/x
  3. Step 3: Cross multiply
    4,059x = 9,690.75 × 9,690.75
  4. Step 4: Simplify right side
    4,059x = 93,910,635.56
  5. Step 5: Solve for x
    x = 93,910,635.56/4,059
  6. Step 6: Final answer
    x = 23,136.40

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.