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Finding the Third Proportional to 35,367.89 and 75,797.02

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Solution

The third proportional to 35,367.89 and 75,797.02 is: 162,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,367.89 : 75,797.02 = 75,797.02 : x
  2. Step 2: Convert to fraction form
    35,367.89/75,797.02 = 75,797.02/x
  3. Step 3: Cross multiply
    35,367.89x = 75,797.02 × 75,797.02
  4. Step 4: Simplify right side
    35,367.89x = 5,745,187,577.66
  5. Step 5: Solve for x
    x = 5,745,187,577.66/35,367.89
  6. Step 6: Final answer
    x = 162,440.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.