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Finding the Third Proportional to 4,622 and 5,278

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Solution

The third proportional to 4,622 and 5,278 is: 6,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622 : 5,278 = 5,278 : x
  2. Step 2: Convert to fraction form
    4,622/5,278 = 5,278/x
  3. Step 3: Cross multiply
    4,622x = 5,278 × 5,278
  4. Step 4: Simplify right side
    4,622x = 27,857,284
  5. Step 5: Solve for x
    x = 27,857,284/4,622
  6. Step 6: Final answer
    x = 6,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.