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Finding the Third Proportional to 32,667.75 and 48,873.75

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Solution

The third proportional to 32,667.75 and 48,873.75 is: 73,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667.75 : 48,873.75 = 48,873.75 : x
  2. Step 2: Convert to fraction form
    32,667.75/48,873.75 = 48,873.75/x
  3. Step 3: Cross multiply
    32,667.75x = 48,873.75 × 48,873.75
  4. Step 4: Simplify right side
    32,667.75x = 2,388,643,439.06
  5. Step 5: Solve for x
    x = 2,388,643,439.06/32,667.75
  6. Step 6: Final answer
    x = 73,119.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.