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Finding the Third Proportional to 22,159 and 48,205

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Solution

The third proportional to 22,159 and 48,205 is: 104,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159 : 48,205 = 48,205 : x
  2. Step 2: Convert to fraction form
    22,159/48,205 = 48,205/x
  3. Step 3: Cross multiply
    22,159x = 48,205 × 48,205
  4. Step 4: Simplify right side
    22,159x = 2,323,722,025
  5. Step 5: Solve for x
    x = 2,323,722,025/22,159
  6. Step 6: Final answer
    x = 104,865.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.