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Finding the Third Proportional to 6,270.75 and 6,891.75

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Solution

The third proportional to 6,270.75 and 6,891.75 is: 7,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.75 : 6,891.75 = 6,891.75 : x
  2. Step 2: Convert to fraction form
    6,270.75/6,891.75 = 6,891.75/x
  3. Step 3: Cross multiply
    6,270.75x = 6,891.75 × 6,891.75
  4. Step 4: Simplify right side
    6,270.75x = 47,496,218.06
  5. Step 5: Solve for x
    x = 47,496,218.06/6,270.75
  6. Step 6: Final answer
    x = 7,574.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.