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Finding the Third Proportional to 37,158 and 52,821

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Solution

The third proportional to 37,158 and 52,821 is: 75,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,158 : 52,821 = 52,821 : x
  2. Step 2: Convert to fraction form
    37,158/52,821 = 52,821/x
  3. Step 3: Cross multiply
    37,158x = 52,821 × 52,821
  4. Step 4: Simplify right side
    37,158x = 2,790,058,041
  5. Step 5: Solve for x
    x = 2,790,058,041/37,158
  6. Step 6: Final answer
    x = 75,086.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.