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Finding the Third Proportional to 23,682 and 48,179

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Solution

The third proportional to 23,682 and 48,179 is: 98,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 48,179 = 48,179 : x
  2. Step 2: Convert to fraction form
    23,682/48,179 = 48,179/x
  3. Step 3: Cross multiply
    23,682x = 48,179 × 48,179
  4. Step 4: Simplify right side
    23,682x = 2,321,216,041
  5. Step 5: Solve for x
    x = 2,321,216,041/23,682
  6. Step 6: Final answer
    x = 98,016.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.