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Finding the Third Proportional to 4,967 and 7,431

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Solution

The third proportional to 4,967 and 7,431 is: 11,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967 : 7,431 = 7,431 : x
  2. Step 2: Convert to fraction form
    4,967/7,431 = 7,431/x
  3. Step 3: Cross multiply
    4,967x = 7,431 × 7,431
  4. Step 4: Simplify right side
    4,967x = 55,219,761
  5. Step 5: Solve for x
    x = 55,219,761/4,967
  6. Step 6: Final answer
    x = 11,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.