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Finding the Third Proportional to 23,504.50 and 33,960

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Solution

The third proportional to 23,504.50 and 33,960 is: 49,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.50 : 33,960 = 33,960 : x
  2. Step 2: Convert to fraction form
    23,504.50/33,960 = 33,960/x
  3. Step 3: Cross multiply
    23,504.50x = 33,960 × 33,960
  4. Step 4: Simplify right side
    23,504.50x = 1,153,281,600
  5. Step 5: Solve for x
    x = 1,153,281,600/23,504.50
  6. Step 6: Final answer
    x = 49,066.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.