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Finding the Third Proportional to 8,646 and 13,223

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Solution

The third proportional to 8,646 and 13,223 is: 20,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 13,223 = 13,223 : x
  2. Step 2: Convert to fraction form
    8,646/13,223 = 13,223/x
  3. Step 3: Cross multiply
    8,646x = 13,223 × 13,223
  4. Step 4: Simplify right side
    8,646x = 174,847,729
  5. Step 5: Solve for x
    x = 174,847,729/8,646
  6. Step 6: Final answer
    x = 20,222.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.