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Finding the Third Proportional to 36,378 and 56,189.25

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Solution

The third proportional to 36,378 and 56,189.25 is: 86,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378 : 56,189.25 = 56,189.25 : x
  2. Step 2: Convert to fraction form
    36,378/56,189.25 = 56,189.25/x
  3. Step 3: Cross multiply
    36,378x = 56,189.25 × 56,189.25
  4. Step 4: Simplify right side
    36,378x = 3,157,231,815.56
  5. Step 5: Solve for x
    x = 3,157,231,815.56/36,378
  6. Step 6: Final answer
    x = 86,789.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.