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Finding the Third Proportional to 22,639 and 48,194

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Solution

The third proportional to 22,639 and 48,194 is: 102,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639 : 48,194 = 48,194 : x
  2. Step 2: Convert to fraction form
    22,639/48,194 = 48,194/x
  3. Step 3: Cross multiply
    22,639x = 48,194 × 48,194
  4. Step 4: Simplify right side
    22,639x = 2,322,661,636
  5. Step 5: Solve for x
    x = 2,322,661,636/22,639
  6. Step 6: Final answer
    x = 102,595.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.