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Finding the Third Proportional to 3,107.50 and 6,057.25

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Solution

The third proportional to 3,107.50 and 6,057.25 is: 11,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.50 : 6,057.25 = 6,057.25 : x
  2. Step 2: Convert to fraction form
    3,107.50/6,057.25 = 6,057.25/x
  3. Step 3: Cross multiply
    3,107.50x = 6,057.25 × 6,057.25
  4. Step 4: Simplify right side
    3,107.50x = 36,690,277.56
  5. Step 5: Solve for x
    x = 36,690,277.56/3,107.50
  6. Step 6: Final answer
    x = 11,807.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.