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Finding the Third Proportional to 5,631 and 6,836.25

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Solution

The third proportional to 5,631 and 6,836.25 is: 8,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631 : 6,836.25 = 6,836.25 : x
  2. Step 2: Convert to fraction form
    5,631/6,836.25 = 6,836.25/x
  3. Step 3: Cross multiply
    5,631x = 6,836.25 × 6,836.25
  4. Step 4: Simplify right side
    5,631x = 46,734,314.06
  5. Step 5: Solve for x
    x = 46,734,314.06/5,631
  6. Step 6: Final answer
    x = 8,299.47

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.