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Finding the Third Proportional to 8,378 and 18,142

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Solution

The third proportional to 8,378 and 18,142 is: 39,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 18,142 = 18,142 : x
  2. Step 2: Convert to fraction form
    8,378/18,142 = 18,142/x
  3. Step 3: Cross multiply
    8,378x = 18,142 × 18,142
  4. Step 4: Simplify right side
    8,378x = 329,132,164
  5. Step 5: Solve for x
    x = 329,132,164/8,378
  6. Step 6: Final answer
    x = 39,285.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.