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Finding the Third Proportional to 3,678 and 5,242

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Solution

The third proportional to 3,678 and 5,242 is: 7,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,242 = 5,242 : x
  2. Step 2: Convert to fraction form
    3,678/5,242 = 5,242/x
  3. Step 3: Cross multiply
    3,678x = 5,242 × 5,242
  4. Step 4: Simplify right side
    3,678x = 27,478,564
  5. Step 5: Solve for x
    x = 27,478,564/3,678
  6. Step 6: Final answer
    x = 7,471.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.