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Finding the Third Proportional to 3,425 and 5,180

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Solution

The third proportional to 3,425 and 5,180 is: 7,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425 : 5,180 = 5,180 : x
  2. Step 2: Convert to fraction form
    3,425/5,180 = 5,180/x
  3. Step 3: Cross multiply
    3,425x = 5,180 × 5,180
  4. Step 4: Simplify right side
    3,425x = 26,832,400
  5. Step 5: Solve for x
    x = 26,832,400/3,425
  6. Step 6: Final answer
    x = 7,834.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.