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Finding the Third Proportional to 23,919 and 33,439.50

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Solution

The third proportional to 23,919 and 33,439.50 is: 46,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919 : 33,439.50 = 33,439.50 : x
  2. Step 2: Convert to fraction form
    23,919/33,439.50 = 33,439.50/x
  3. Step 3: Cross multiply
    23,919x = 33,439.50 × 33,439.50
  4. Step 4: Simplify right side
    23,919x = 1,118,200,160.25
  5. Step 5: Solve for x
    x = 1,118,200,160.25/23,919
  6. Step 6: Final answer
    x = 46,749.45

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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.