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Finding the Third Proportional to 4,450.50 and 5,896.13

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Solution

The third proportional to 4,450.50 and 5,896.13 is: 7,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.50 : 5,896.13 = 5,896.13 : x
  2. Step 2: Convert to fraction form
    4,450.50/5,896.13 = 5,896.13/x
  3. Step 3: Cross multiply
    4,450.50x = 5,896.13 × 5,896.13
  4. Step 4: Simplify right side
    4,450.50x = 34,764,290.02
  5. Step 5: Solve for x
    x = 34,764,290.02/4,450.50
  6. Step 6: Final answer
    x = 7,811.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.