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Finding the Third Proportional to 6,178.46 and 6,767.93

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Solution

The third proportional to 6,178.46 and 6,767.93 is: 7,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.46 : 6,767.93 = 6,767.93 : x
  2. Step 2: Convert to fraction form
    6,178.46/6,767.93 = 6,767.93/x
  3. Step 3: Cross multiply
    6,178.46x = 6,767.93 × 6,767.93
  4. Step 4: Simplify right side
    6,178.46x = 45,804,872.25
  5. Step 5: Solve for x
    x = 45,804,872.25/6,178.46
  6. Step 6: Final answer
    x = 7,413.63

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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.