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Finding the Third Proportional to 47,946.75 and 100,949.25

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Solution

The third proportional to 47,946.75 and 100,949.25 is: 212,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946.75 : 100,949.25 = 100,949.25 : x
  2. Step 2: Convert to fraction form
    47,946.75/100,949.25 = 100,949.25/x
  3. Step 3: Cross multiply
    47,946.75x = 100,949.25 × 100,949.25
  4. Step 4: Simplify right side
    47,946.75x = 10,190,751,075.56
  5. Step 5: Solve for x
    x = 10,190,751,075.56/47,946.75
  6. Step 6: Final answer
    x = 212,543.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.