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Finding the Third Proportional to 40,890.75 and 83,285.06

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Solution

The third proportional to 40,890.75 and 83,285.06 is: 169,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890.75 : 83,285.06 = 83,285.06 : x
  2. Step 2: Convert to fraction form
    40,890.75/83,285.06 = 83,285.06/x
  3. Step 3: Cross multiply
    40,890.75x = 83,285.06 × 83,285.06
  4. Step 4: Simplify right side
    40,890.75x = 6,936,401,635.63
  5. Step 5: Solve for x
    x = 6,936,401,635.63/40,890.75
  6. Step 6: Final answer
    x = 169,632.54

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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.