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Finding the Third Proportional to 23,376.50 and 32,880.75

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Solution

The third proportional to 23,376.50 and 32,880.75 is: 46,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.50 : 32,880.75 = 32,880.75 : x
  2. Step 2: Convert to fraction form
    23,376.50/32,880.75 = 32,880.75/x
  3. Step 3: Cross multiply
    23,376.50x = 32,880.75 × 32,880.75
  4. Step 4: Simplify right side
    23,376.50x = 1,081,143,720.56
  5. Step 5: Solve for x
    x = 1,081,143,720.56/23,376.50
  6. Step 6: Final answer
    x = 46,249.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.