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Finding the Third Proportional to 3,057.75 and 6,095.25

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Solution

The third proportional to 3,057.75 and 6,095.25 is: 12,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.75 : 6,095.25 = 6,095.25 : x
  2. Step 2: Convert to fraction form
    3,057.75/6,095.25 = 6,095.25/x
  3. Step 3: Cross multiply
    3,057.75x = 6,095.25 × 6,095.25
  4. Step 4: Simplify right side
    3,057.75x = 37,152,072.56
  5. Step 5: Solve for x
    x = 37,152,072.56/3,057.75
  6. Step 6: Final answer
    x = 12,150.13

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.