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Finding the Third Proportional to 32,284.50 and 69,667.50

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Solution

The third proportional to 32,284.50 and 69,667.50 is: 150,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.50 : 69,667.50 = 69,667.50 : x
  2. Step 2: Convert to fraction form
    32,284.50/69,667.50 = 69,667.50/x
  3. Step 3: Cross multiply
    32,284.50x = 69,667.50 × 69,667.50
  4. Step 4: Simplify right side
    32,284.50x = 4,853,560,556.25
  5. Step 5: Solve for x
    x = 4,853,560,556.25/32,284.50
  6. Step 6: Final answer
    x = 150,337.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.