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Finding the Third Proportional to 47,548.75 and 100,401.75

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Solution

The third proportional to 47,548.75 and 100,401.75 is: 212,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548.75 : 100,401.75 = 100,401.75 : x
  2. Step 2: Convert to fraction form
    47,548.75/100,401.75 = 100,401.75/x
  3. Step 3: Cross multiply
    47,548.75x = 100,401.75 × 100,401.75
  4. Step 4: Simplify right side
    47,548.75x = 10,080,511,403.06
  5. Step 5: Solve for x
    x = 10,080,511,403.06/47,548.75
  6. Step 6: Final answer
    x = 212,003.71

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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.