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Finding the Third Proportional to 4,396.50 and 9,486.56

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Solution

The third proportional to 4,396.50 and 9,486.56 is: 20,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.50 : 9,486.56 = 9,486.56 : x
  2. Step 2: Convert to fraction form
    4,396.50/9,486.56 = 9,486.56/x
  3. Step 3: Cross multiply
    4,396.50x = 9,486.56 × 9,486.56
  4. Step 4: Simplify right side
    4,396.50x = 89,994,868.07
  5. Step 5: Solve for x
    x = 89,994,868.07/4,396.50
  6. Step 6: Final answer
    x = 20,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.