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Finding the Third Proportional to 39,172 and 54,114

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Solution

The third proportional to 39,172 and 54,114 is: 74,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,172 : 54,114 = 54,114 : x
  2. Step 2: Convert to fraction form
    39,172/54,114 = 54,114/x
  3. Step 3: Cross multiply
    39,172x = 54,114 × 54,114
  4. Step 4: Simplify right side
    39,172x = 2,928,324,996
  5. Step 5: Solve for x
    x = 2,928,324,996/39,172
  6. Step 6: Final answer
    x = 74,755.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.