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Finding the Third Proportional to 33,457 and 48,928.75

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Solution

The third proportional to 33,457 and 48,928.75 is: 71,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457 : 48,928.75 = 48,928.75 : x
  2. Step 2: Convert to fraction form
    33,457/48,928.75 = 48,928.75/x
  3. Step 3: Cross multiply
    33,457x = 48,928.75 × 48,928.75
  4. Step 4: Simplify right side
    33,457x = 2,394,022,576.56
  5. Step 5: Solve for x
    x = 2,394,022,576.56/33,457
  6. Step 6: Final answer
    x = 71,555.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.