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Finding the Third Proportional to 33,176 and 48,796

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Solution

The third proportional to 33,176 and 48,796 is: 71,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176 : 48,796 = 48,796 : x
  2. Step 2: Convert to fraction form
    33,176/48,796 = 48,796/x
  3. Step 3: Cross multiply
    33,176x = 48,796 × 48,796
  4. Step 4: Simplify right side
    33,176x = 2,381,049,616
  5. Step 5: Solve for x
    x = 2,381,049,616/33,176
  6. Step 6: Final answer
    x = 71,770.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.