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Finding the Third Proportional to 35,057.25 and 76,007.25

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Solution

The third proportional to 35,057.25 and 76,007.25 is: 164,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057.25 : 76,007.25 = 76,007.25 : x
  2. Step 2: Convert to fraction form
    35,057.25/76,007.25 = 76,007.25/x
  3. Step 3: Cross multiply
    35,057.25x = 76,007.25 × 76,007.25
  4. Step 4: Simplify right side
    35,057.25x = 5,777,102,052.56
  5. Step 5: Solve for x
    x = 5,777,102,052.56/35,057.25
  6. Step 6: Final answer
    x = 164,790.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.