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Finding the Third Proportional to 36,470.25 and 79,164.84

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Solution

The third proportional to 36,470.25 and 79,164.84 is: 171,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470.25 : 79,164.84 = 79,164.84 : x
  2. Step 2: Convert to fraction form
    36,470.25/79,164.84 = 79,164.84/x
  3. Step 3: Cross multiply
    36,470.25x = 79,164.84 × 79,164.84
  4. Step 4: Simplify right side
    36,470.25x = 6,267,072,485.96
  5. Step 5: Solve for x
    x = 6,267,072,485.96/36,470.25
  6. Step 6: Final answer
    x = 171,840.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.