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Finding the Third Proportional to 8,419 and 13,208

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Solution

The third proportional to 8,419 and 13,208 is: 20,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 13,208 = 13,208 : x
  2. Step 2: Convert to fraction form
    8,419/13,208 = 13,208/x
  3. Step 3: Cross multiply
    8,419x = 13,208 × 13,208
  4. Step 4: Simplify right side
    8,419x = 174,451,264
  5. Step 5: Solve for x
    x = 174,451,264/8,419
  6. Step 6: Final answer
    x = 20,721.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.