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Finding the Third Proportional to 8,224 and 13,361

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Solution

The third proportional to 8,224 and 13,361 is: 21,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 13,361 = 13,361 : x
  2. Step 2: Convert to fraction form
    8,224/13,361 = 13,361/x
  3. Step 3: Cross multiply
    8,224x = 13,361 × 13,361
  4. Step 4: Simplify right side
    8,224x = 178,516,321
  5. Step 5: Solve for x
    x = 178,516,321/8,224
  6. Step 6: Final answer
    x = 21,706.75

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.