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Finding the Third Proportional to 35,790.25 and 80,860.25

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Solution

The third proportional to 35,790.25 and 80,860.25 is: 182,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790.25 : 80,860.25 = 80,860.25 : x
  2. Step 2: Convert to fraction form
    35,790.25/80,860.25 = 80,860.25/x
  3. Step 3: Cross multiply
    35,790.25x = 80,860.25 × 80,860.25
  4. Step 4: Simplify right side
    35,790.25x = 6,538,380,030.06
  5. Step 5: Solve for x
    x = 6,538,380,030.06/35,790.25
  6. Step 6: Final answer
    x = 182,686.07

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.