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Finding the Third Proportional to 30,647 and 48,794

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Solution

The third proportional to 30,647 and 48,794 is: 77,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647 : 48,794 = 48,794 : x
  2. Step 2: Convert to fraction form
    30,647/48,794 = 48,794/x
  3. Step 3: Cross multiply
    30,647x = 48,794 × 48,794
  4. Step 4: Simplify right side
    30,647x = 2,380,854,436
  5. Step 5: Solve for x
    x = 2,380,854,436/30,647
  6. Step 6: Final answer
    x = 77,686.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.