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Finding the Third Proportional to 47,647 and 104,627

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Solution

The third proportional to 47,647 and 104,627 is: 229,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,647 : 104,627 = 104,627 : x
  2. Step 2: Convert to fraction form
    47,647/104,627 = 104,627/x
  3. Step 3: Cross multiply
    47,647x = 104,627 × 104,627
  4. Step 4: Simplify right side
    47,647x = 10,946,809,129
  5. Step 5: Solve for x
    x = 10,946,809,129/47,647
  6. Step 6: Final answer
    x = 229,748.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.