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Finding the Third Proportional to 4,120.56 and 6,568.12

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Solution

The third proportional to 4,120.56 and 6,568.12 is: 10,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.56 : 6,568.12 = 6,568.12 : x
  2. Step 2: Convert to fraction form
    4,120.56/6,568.12 = 6,568.12/x
  3. Step 3: Cross multiply
    4,120.56x = 6,568.12 × 6,568.12
  4. Step 4: Simplify right side
    4,120.56x = 43,140,189.05
  5. Step 5: Solve for x
    x = 43,140,189.05/4,120.56
  6. Step 6: Final answer
    x = 10,469.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.