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Finding the Third Proportional to 3,084 and 4,242

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Solution

The third proportional to 3,084 and 4,242 is: 5,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,242 = 4,242 : x
  2. Step 2: Convert to fraction form
    3,084/4,242 = 4,242/x
  3. Step 3: Cross multiply
    3,084x = 4,242 × 4,242
  4. Step 4: Simplify right side
    3,084x = 17,994,564
  5. Step 5: Solve for x
    x = 17,994,564/3,084
  6. Step 6: Final answer
    x = 5,834.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.