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Finding the Third Proportional to 32,994 and 73,350

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Solution

The third proportional to 32,994 and 73,350 is: 163,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994 : 73,350 = 73,350 : x
  2. Step 2: Convert to fraction form
    32,994/73,350 = 73,350/x
  3. Step 3: Cross multiply
    32,994x = 73,350 × 73,350
  4. Step 4: Simplify right side
    32,994x = 5,380,222,500
  5. Step 5: Solve for x
    x = 5,380,222,500/32,994
  6. Step 6: Final answer
    x = 163,066.69

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.