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Finding the Third Proportional to 3,419 and 4,175

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Solution

The third proportional to 3,419 and 4,175 is: 5,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 4,175 = 4,175 : x
  2. Step 2: Convert to fraction form
    3,419/4,175 = 4,175/x
  3. Step 3: Cross multiply
    3,419x = 4,175 × 4,175
  4. Step 4: Simplify right side
    3,419x = 17,430,625
  5. Step 5: Solve for x
    x = 17,430,625/3,419
  6. Step 6: Final answer
    x = 5,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.