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Finding the Third Proportional to 2,425 and 3,678

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Solution

The third proportional to 2,425 and 3,678 is: 5,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425 : 3,678 = 3,678 : x
  2. Step 2: Convert to fraction form
    2,425/3,678 = 3,678/x
  3. Step 3: Cross multiply
    2,425x = 3,678 × 3,678
  4. Step 4: Simplify right side
    2,425x = 13,527,684
  5. Step 5: Solve for x
    x = 13,527,684/2,425
  6. Step 6: Final answer
    x = 5,578.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.