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Finding the Third Proportional to 3,012 and 4,839

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Solution

The third proportional to 3,012 and 4,839 is: 7,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,839 = 4,839 : x
  2. Step 2: Convert to fraction form
    3,012/4,839 = 4,839/x
  3. Step 3: Cross multiply
    3,012x = 4,839 × 4,839
  4. Step 4: Simplify right side
    3,012x = 23,415,921
  5. Step 5: Solve for x
    x = 23,415,921/3,012
  6. Step 6: Final answer
    x = 7,774.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.