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Finding the Third Proportional to 32,683.50 and 52,224.75

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Solution

The third proportional to 32,683.50 and 52,224.75 is: 83,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.50 : 52,224.75 = 52,224.75 : x
  2. Step 2: Convert to fraction form
    32,683.50/52,224.75 = 52,224.75/x
  3. Step 3: Cross multiply
    32,683.50x = 52,224.75 × 52,224.75
  4. Step 4: Simplify right side
    32,683.50x = 2,727,424,512.56
  5. Step 5: Solve for x
    x = 2,727,424,512.56/32,683.50
  6. Step 6: Final answer
    x = 83,449.59

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.