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Finding the Third Proportional to 8,378 and 18,430

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Solution

The third proportional to 8,378 and 18,430 is: 40,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 18,430 = 18,430 : x
  2. Step 2: Convert to fraction form
    8,378/18,430 = 18,430/x
  3. Step 3: Cross multiply
    8,378x = 18,430 × 18,430
  4. Step 4: Simplify right side
    8,378x = 339,664,900
  5. Step 5: Solve for x
    x = 339,664,900/8,378
  6. Step 6: Final answer
    x = 40,542.48

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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.