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Finding the Third Proportional to 3,984 and 6,368

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Solution

The third proportional to 3,984 and 6,368 is: 10,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 6,368 = 6,368 : x
  2. Step 2: Convert to fraction form
    3,984/6,368 = 6,368/x
  3. Step 3: Cross multiply
    3,984x = 6,368 × 6,368
  4. Step 4: Simplify right side
    3,984x = 40,551,424
  5. Step 5: Solve for x
    x = 40,551,424/3,984
  6. Step 6: Final answer
    x = 10,178.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.