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Finding the Third Proportional to 3,470 and 8,381

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Solution

The third proportional to 3,470 and 8,381 is: 20,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 8,381 = 8,381 : x
  2. Step 2: Convert to fraction form
    3,470/8,381 = 8,381/x
  3. Step 3: Cross multiply
    3,470x = 8,381 × 8,381
  4. Step 4: Simplify right side
    3,470x = 70,241,161
  5. Step 5: Solve for x
    x = 70,241,161/3,470
  6. Step 6: Final answer
    x = 20,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.