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Finding the Third Proportional to 36,910 and 57,308

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Solution

The third proportional to 36,910 and 57,308 is: 88,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,910 : 57,308 = 57,308 : x
  2. Step 2: Convert to fraction form
    36,910/57,308 = 57,308/x
  3. Step 3: Cross multiply
    36,910x = 57,308 × 57,308
  4. Step 4: Simplify right side
    36,910x = 3,284,206,864
  5. Step 5: Solve for x
    x = 3,284,206,864/36,910
  6. Step 6: Final answer
    x = 88,978.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.