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Finding the Third Proportional to 32,659.50 and 69,171

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Solution

The third proportional to 32,659.50 and 69,171 is: 146,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.50 : 69,171 = 69,171 : x
  2. Step 2: Convert to fraction form
    32,659.50/69,171 = 69,171/x
  3. Step 3: Cross multiply
    32,659.50x = 69,171 × 69,171
  4. Step 4: Simplify right side
    32,659.50x = 4,784,627,241
  5. Step 5: Solve for x
    x = 4,784,627,241/32,659.50
  6. Step 6: Final answer
    x = 146,500.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.