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Finding the Third Proportional to 30,647 and 48,162

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Solution

The third proportional to 30,647 and 48,162 is: 75,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647 : 48,162 = 48,162 : x
  2. Step 2: Convert to fraction form
    30,647/48,162 = 48,162/x
  3. Step 3: Cross multiply
    30,647x = 48,162 × 48,162
  4. Step 4: Simplify right side
    30,647x = 2,319,578,244
  5. Step 5: Solve for x
    x = 2,319,578,244/30,647
  6. Step 6: Final answer
    x = 75,686.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.