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Finding the Third Proportional to 36,633.75 and 57,138

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Solution

The third proportional to 36,633.75 and 57,138 is: 89,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633.75 : 57,138 = 57,138 : x
  2. Step 2: Convert to fraction form
    36,633.75/57,138 = 57,138/x
  3. Step 3: Cross multiply
    36,633.75x = 57,138 × 57,138
  4. Step 4: Simplify right side
    36,633.75x = 3,264,751,044
  5. Step 5: Solve for x
    x = 3,264,751,044/36,633.75
  6. Step 6: Final answer
    x = 89,118.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.