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Finding the Third Proportional to 32,737.50 and 69,766.88

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Solution

The third proportional to 32,737.50 and 69,766.88 is: 148,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,737.50 : 69,766.88 = 69,766.88 : x
  2. Step 2: Convert to fraction form
    32,737.50/69,766.88 = 69,766.88/x
  3. Step 3: Cross multiply
    32,737.50x = 69,766.88 × 69,766.88
  4. Step 4: Simplify right side
    32,737.50x = 4,867,416,847.27
  5. Step 5: Solve for x
    x = 4,867,416,847.27/32,737.50
  6. Step 6: Final answer
    x = 148,680.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.