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Finding the Third Proportional to 8,122 and 17,478

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Solution

The third proportional to 8,122 and 17,478 is: 37,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122 : 17,478 = 17,478 : x
  2. Step 2: Convert to fraction form
    8,122/17,478 = 17,478/x
  3. Step 3: Cross multiply
    8,122x = 17,478 × 17,478
  4. Step 4: Simplify right side
    8,122x = 305,480,484
  5. Step 5: Solve for x
    x = 305,480,484/8,122
  6. Step 6: Final answer
    x = 37,611.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.