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Finding the Third Proportional to 37,536.75 and 79,994.25

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Solution

The third proportional to 37,536.75 and 79,994.25 is: 170,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536.75 : 79,994.25 = 79,994.25 : x
  2. Step 2: Convert to fraction form
    37,536.75/79,994.25 = 79,994.25/x
  3. Step 3: Cross multiply
    37,536.75x = 79,994.25 × 79,994.25
  4. Step 4: Simplify right side
    37,536.75x = 6,399,080,033.06
  5. Step 5: Solve for x
    x = 6,399,080,033.06/37,536.75
  6. Step 6: Final answer
    x = 170,475.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.