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Finding the Third Proportional to 23,073 and 32,994.38

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Solution

The third proportional to 23,073 and 32,994.38 is: 47,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073 : 32,994.38 = 32,994.38 : x
  2. Step 2: Convert to fraction form
    23,073/32,994.38 = 32,994.38/x
  3. Step 3: Cross multiply
    23,073x = 32,994.38 × 32,994.38
  4. Step 4: Simplify right side
    23,073x = 1,088,628,781.64
  5. Step 5: Solve for x
    x = 1,088,628,781.64/23,073
  6. Step 6: Final answer
    x = 47,181.93

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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.