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Finding the Third Proportional to 32,350.50 and 68,589

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Solution

The third proportional to 32,350.50 and 68,589 is: 145,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350.50 : 68,589 = 68,589 : x
  2. Step 2: Convert to fraction form
    32,350.50/68,589 = 68,589/x
  3. Step 3: Cross multiply
    32,350.50x = 68,589 × 68,589
  4. Step 4: Simplify right side
    32,350.50x = 4,704,450,921
  5. Step 5: Solve for x
    x = 4,704,450,921/32,350.50
  6. Step 6: Final answer
    x = 145,421.27

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Why These Related Problems?

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