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Finding the Third Proportional to 47,424 and 73,425

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Solution

The third proportional to 47,424 and 73,425 is: 113,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424 : 73,425 = 73,425 : x
  2. Step 2: Convert to fraction form
    47,424/73,425 = 73,425/x
  3. Step 3: Cross multiply
    47,424x = 73,425 × 73,425
  4. Step 4: Simplify right side
    47,424x = 5,391,230,625
  5. Step 5: Solve for x
    x = 5,391,230,625/47,424
  6. Step 6: Final answer
    x = 113,681.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.