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Finding the Third Proportional to 3,457.50 and 5,286.75

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Solution

The third proportional to 3,457.50 and 5,286.75 is: 8,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.50 : 5,286.75 = 5,286.75 : x
  2. Step 2: Convert to fraction form
    3,457.50/5,286.75 = 5,286.75/x
  3. Step 3: Cross multiply
    3,457.50x = 5,286.75 × 5,286.75
  4. Step 4: Simplify right side
    3,457.50x = 27,949,725.56
  5. Step 5: Solve for x
    x = 27,949,725.56/3,457.50
  6. Step 6: Final answer
    x = 8,083.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.