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Finding the Third Proportional to 8,342 and 18,364

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Solution

The third proportional to 8,342 and 18,364 is: 40,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 18,364 = 18,364 : x
  2. Step 2: Convert to fraction form
    8,342/18,364 = 18,364/x
  3. Step 3: Cross multiply
    8,342x = 18,364 × 18,364
  4. Step 4: Simplify right side
    8,342x = 337,236,496
  5. Step 5: Solve for x
    x = 337,236,496/8,342
  6. Step 6: Final answer
    x = 40,426.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.