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Finding the Third Proportional to 5,000.25 and 8,046.75

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Solution

The third proportional to 5,000.25 and 8,046.75 is: 12,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.25 : 8,046.75 = 8,046.75 : x
  2. Step 2: Convert to fraction form
    5,000.25/8,046.75 = 8,046.75/x
  3. Step 3: Cross multiply
    5,000.25x = 8,046.75 × 8,046.75
  4. Step 4: Simplify right side
    5,000.25x = 64,750,185.56
  5. Step 5: Solve for x
    x = 64,750,185.56/5,000.25
  6. Step 6: Final answer
    x = 12,949.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.