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Finding the Third Proportional to 3,919 and 7,475

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Solution

The third proportional to 3,919 and 7,475 is: 14,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 7,475 = 7,475 : x
  2. Step 2: Convert to fraction form
    3,919/7,475 = 7,475/x
  3. Step 3: Cross multiply
    3,919x = 7,475 × 7,475
  4. Step 4: Simplify right side
    3,919x = 55,875,625
  5. Step 5: Solve for x
    x = 55,875,625/3,919
  6. Step 6: Final answer
    x = 14,257.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.