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Finding the Third Proportional to 35,409.09 and 76,080.94

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Solution

The third proportional to 35,409.09 and 76,080.94 is: 163,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.09 : 76,080.94 = 76,080.94 : x
  2. Step 2: Convert to fraction form
    35,409.09/76,080.94 = 76,080.94/x
  3. Step 3: Cross multiply
    35,409.09x = 76,080.94 × 76,080.94
  4. Step 4: Simplify right side
    35,409.09x = 5,788,309,050.88
  5. Step 5: Solve for x
    x = 5,788,309,050.88/35,409.09
  6. Step 6: Final answer
    x = 163,469.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.