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Finding the Third Proportional to 23,196 and 50,844

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Solution

The third proportional to 23,196 and 50,844 is: 111,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 50,844 = 50,844 : x
  2. Step 2: Convert to fraction form
    23,196/50,844 = 50,844/x
  3. Step 3: Cross multiply
    23,196x = 50,844 × 50,844
  4. Step 4: Simplify right side
    23,196x = 2,585,112,336
  5. Step 5: Solve for x
    x = 2,585,112,336/23,196
  6. Step 6: Final answer
    x = 111,446.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.