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Finding the Third Proportional to 32,289.75 and 68,487.75

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Solution

The third proportional to 32,289.75 and 68,487.75 is: 145,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.75 : 68,487.75 = 68,487.75 : x
  2. Step 2: Convert to fraction form
    32,289.75/68,487.75 = 68,487.75/x
  3. Step 3: Cross multiply
    32,289.75x = 68,487.75 × 68,487.75
  4. Step 4: Simplify right side
    32,289.75x = 4,690,571,900.06
  5. Step 5: Solve for x
    x = 4,690,571,900.06/32,289.75
  6. Step 6: Final answer
    x = 145,265.04

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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.