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Finding the Third Proportional to 38,237 and 89,962

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Solution

The third proportional to 38,237 and 89,962 is: 211,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,237 : 89,962 = 89,962 : x
  2. Step 2: Convert to fraction form
    38,237/89,962 = 89,962/x
  3. Step 3: Cross multiply
    38,237x = 89,962 × 89,962
  4. Step 4: Simplify right side
    38,237x = 8,093,161,444
  5. Step 5: Solve for x
    x = 8,093,161,444/38,237
  6. Step 6: Final answer
    x = 211,657.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.