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Finding the Third Proportional to 35,268.75 and 68,770.69

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Solution

The third proportional to 35,268.75 and 68,770.69 is: 134,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,268.75 : 68,770.69 = 68,770.69 : x
  2. Step 2: Convert to fraction form
    35,268.75/68,770.69 = 68,770.69/x
  3. Step 3: Cross multiply
    35,268.75x = 68,770.69 × 68,770.69
  4. Step 4: Simplify right side
    35,268.75x = 4,729,407,459.22
  5. Step 5: Solve for x
    x = 4,729,407,459.22/35,268.75
  6. Step 6: Final answer
    x = 134,096.26

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.