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Finding the Third Proportional to 49,851 and 76,625

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Solution

The third proportional to 49,851 and 76,625 is: 117,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851 : 76,625 = 76,625 : x
  2. Step 2: Convert to fraction form
    49,851/76,625 = 76,625/x
  3. Step 3: Cross multiply
    49,851x = 76,625 × 76,625
  4. Step 4: Simplify right side
    49,851x = 5,871,390,625
  5. Step 5: Solve for x
    x = 5,871,390,625/49,851
  6. Step 6: Final answer
    x = 117,778.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.