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Finding the Third Proportional to 13,967 and 22,223

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Solution

The third proportional to 13,967 and 22,223 is: 35,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967 : 22,223 = 22,223 : x
  2. Step 2: Convert to fraction form
    13,967/22,223 = 22,223/x
  3. Step 3: Cross multiply
    13,967x = 22,223 × 22,223
  4. Step 4: Simplify right side
    13,967x = 493,861,729
  5. Step 5: Solve for x
    x = 493,861,729/13,967
  6. Step 6: Final answer
    x = 35,359.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.