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Finding the Third Proportional to 23,223 and 49,205

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Solution

The third proportional to 23,223 and 49,205 is: 104,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223 : 49,205 = 49,205 : x
  2. Step 2: Convert to fraction form
    23,223/49,205 = 49,205/x
  3. Step 3: Cross multiply
    23,223x = 49,205 × 49,205
  4. Step 4: Simplify right side
    23,223x = 2,421,132,025
  5. Step 5: Solve for x
    x = 2,421,132,025/23,223
  6. Step 6: Final answer
    x = 104,255.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.