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Finding the Third Proportional to 23,969.67 and 33,477.05

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Solution

The third proportional to 23,969.67 and 33,477.05 is: 46,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.67 : 33,477.05 = 33,477.05 : x
  2. Step 2: Convert to fraction form
    23,969.67/33,477.05 = 33,477.05/x
  3. Step 3: Cross multiply
    23,969.67x = 33,477.05 × 33,477.05
  4. Step 4: Simplify right side
    23,969.67x = 1,120,712,667.47
  5. Step 5: Solve for x
    x = 1,120,712,667.47/23,969.67
  6. Step 6: Final answer
    x = 46,755.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.