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Finding the Third Proportional to 22,636 and 48,188

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Solution

The third proportional to 22,636 and 48,188 is: 102,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636 : 48,188 = 48,188 : x
  2. Step 2: Convert to fraction form
    22,636/48,188 = 48,188/x
  3. Step 3: Cross multiply
    22,636x = 48,188 × 48,188
  4. Step 4: Simplify right side
    22,636x = 2,322,083,344
  5. Step 5: Solve for x
    x = 2,322,083,344/22,636
  6. Step 6: Final answer
    x = 102,583.64

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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.