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Finding the Third Proportional to 22,172 and 48,223

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Solution

The third proportional to 22,172 and 48,223 is: 104,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172 : 48,223 = 48,223 : x
  2. Step 2: Convert to fraction form
    22,172/48,223 = 48,223/x
  3. Step 3: Cross multiply
    22,172x = 48,223 × 48,223
  4. Step 4: Simplify right side
    22,172x = 2,325,457,729
  5. Step 5: Solve for x
    x = 2,325,457,729/22,172
  6. Step 6: Final answer
    x = 104,882.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.