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Finding the Third Proportional to 50,765 and 74,675

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Solution

The third proportional to 50,765 and 74,675 is: 109,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765 : 74,675 = 74,675 : x
  2. Step 2: Convert to fraction form
    50,765/74,675 = 74,675/x
  3. Step 3: Cross multiply
    50,765x = 74,675 × 74,675
  4. Step 4: Simplify right side
    50,765x = 5,576,355,625
  5. Step 5: Solve for x
    x = 5,576,355,625/50,765
  6. Step 6: Final answer
    x = 109,846.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.