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Finding the Third Proportional to 32,035.50 and 68,240.25

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Solution

The third proportional to 32,035.50 and 68,240.25 is: 145,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.50 : 68,240.25 = 68,240.25 : x
  2. Step 2: Convert to fraction form
    32,035.50/68,240.25 = 68,240.25/x
  3. Step 3: Cross multiply
    32,035.50x = 68,240.25 × 68,240.25
  4. Step 4: Simplify right side
    32,035.50x = 4,656,731,720.06
  5. Step 5: Solve for x
    x = 4,656,731,720.06/32,035.50
  6. Step 6: Final answer
    x = 145,361.61

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Why These Related Problems?

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