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Finding the Third Proportional to 23,073 and 32,994.75

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Solution

The third proportional to 23,073 and 32,994.75 is: 47,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073 : 32,994.75 = 32,994.75 : x
  2. Step 2: Convert to fraction form
    23,073/32,994.75 = 32,994.75/x
  3. Step 3: Cross multiply
    23,073x = 32,994.75 × 32,994.75
  4. Step 4: Simplify right side
    23,073x = 1,088,653,527.56
  5. Step 5: Solve for x
    x = 1,088,653,527.56/23,073
  6. Step 6: Final answer
    x = 47,183.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.