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Finding the Third Proportional to 4,961.25 and 6,800.63

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Solution

The third proportional to 4,961.25 and 6,800.63 is: 9,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.25 : 6,800.63 = 6,800.63 : x
  2. Step 2: Convert to fraction form
    4,961.25/6,800.63 = 6,800.63/x
  3. Step 3: Cross multiply
    4,961.25x = 6,800.63 × 6,800.63
  4. Step 4: Simplify right side
    4,961.25x = 46,248,500.39
  5. Step 5: Solve for x
    x = 46,248,500.39/4,961.25
  6. Step 6: Final answer
    x = 9,321.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.