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Finding the Third Proportional to 3,661.88 and 6,800.63

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Solution

The third proportional to 3,661.88 and 6,800.63 is: 12,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.88 : 6,800.63 = 6,800.63 : x
  2. Step 2: Convert to fraction form
    3,661.88/6,800.63 = 6,800.63/x
  3. Step 3: Cross multiply
    3,661.88x = 6,800.63 × 6,800.63
  4. Step 4: Simplify right side
    3,661.88x = 46,248,500.39
  5. Step 5: Solve for x
    x = 46,248,500.39/3,661.88
  6. Step 6: Final answer
    x = 12,629.73

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.