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Finding the Third Proportional to 32,274 and 70,769.25

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Solution

The third proportional to 32,274 and 70,769.25 is: 155,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274 : 70,769.25 = 70,769.25 : x
  2. Step 2: Convert to fraction form
    32,274/70,769.25 = 70,769.25/x
  3. Step 3: Cross multiply
    32,274x = 70,769.25 × 70,769.25
  4. Step 4: Simplify right side
    32,274x = 5,008,286,745.56
  5. Step 5: Solve for x
    x = 5,008,286,745.56/32,274
  6. Step 6: Final answer
    x = 155,180.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.