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Finding the Third Proportional to 33,826 and 48,080

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Solution

The third proportional to 33,826 and 48,080 is: 68,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,826 : 48,080 = 48,080 : x
  2. Step 2: Convert to fraction form
    33,826/48,080 = 48,080/x
  3. Step 3: Cross multiply
    33,826x = 48,080 × 48,080
  4. Step 4: Simplify right side
    33,826x = 2,311,686,400
  5. Step 5: Solve for x
    x = 2,311,686,400/33,826
  6. Step 6: Final answer
    x = 68,340.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.