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Finding the Third Proportional to 22,640 and 48,200

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Solution

The third proportional to 22,640 and 48,200 is: 102,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640 : 48,200 = 48,200 : x
  2. Step 2: Convert to fraction form
    22,640/48,200 = 48,200/x
  3. Step 3: Cross multiply
    22,640x = 48,200 × 48,200
  4. Step 4: Simplify right side
    22,640x = 2,323,240,000
  5. Step 5: Solve for x
    x = 2,323,240,000/22,640
  6. Step 6: Final answer
    x = 102,616.61

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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.