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Finding the Third Proportional to 7,967 and 11,143

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Solution

The third proportional to 7,967 and 11,143 is: 15,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967 : 11,143 = 11,143 : x
  2. Step 2: Convert to fraction form
    7,967/11,143 = 11,143/x
  3. Step 3: Cross multiply
    7,967x = 11,143 × 11,143
  4. Step 4: Simplify right side
    7,967x = 124,166,449
  5. Step 5: Solve for x
    x = 124,166,449/7,967
  6. Step 6: Final answer
    x = 15,585.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.