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Finding the Third Proportional to 5,963 and 7,043

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Solution

The third proportional to 5,963 and 7,043 is: 8,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963 : 7,043 = 7,043 : x
  2. Step 2: Convert to fraction form
    5,963/7,043 = 7,043/x
  3. Step 3: Cross multiply
    5,963x = 7,043 × 7,043
  4. Step 4: Simplify right side
    5,963x = 49,603,849
  5. Step 5: Solve for x
    x = 49,603,849/5,963
  6. Step 6: Final answer
    x = 8,318.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.