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Finding the Third Proportional to 40,991.06 and 83,485.69

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Solution

The third proportional to 40,991.06 and 83,485.69 is: 170,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,991.06 : 83,485.69 = 83,485.69 : x
  2. Step 2: Convert to fraction form
    40,991.06/83,485.69 = 83,485.69/x
  3. Step 3: Cross multiply
    40,991.06x = 83,485.69 × 83,485.69
  4. Step 4: Simplify right side
    40,991.06x = 6,969,860,017.35
  5. Step 5: Solve for x
    x = 6,969,860,017.35/40,991.06
  6. Step 6: Final answer
    x = 170,033.65

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.