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Finding the Third Proportional to 32,994.84 and 79,741.97

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Solution

The third proportional to 32,994.84 and 79,741.97 is: 192,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.84 : 79,741.97 = 79,741.97 : x
  2. Step 2: Convert to fraction form
    32,994.84/79,741.97 = 79,741.97/x
  3. Step 3: Cross multiply
    32,994.84x = 79,741.97 × 79,741.97
  4. Step 4: Simplify right side
    32,994.84x = 6,358,781,580.13
  5. Step 5: Solve for x
    x = 6,358,781,580.13/32,994.84
  6. Step 6: Final answer
    x = 192,720.46

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.