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Finding the Third Proportional to 34,651.69 and 85,090.50

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Solution

The third proportional to 34,651.69 and 85,090.50 is: 208,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 85,090.50 = 85,090.50 : x
  2. Step 2: Convert to fraction form
    34,651.69/85,090.50 = 85,090.50/x
  3. Step 3: Cross multiply
    34,651.69x = 85,090.50 × 85,090.50
  4. Step 4: Simplify right side
    34,651.69x = 7,240,393,190.25
  5. Step 5: Solve for x
    x = 7,240,393,190.25/34,651.69
  6. Step 6: Final answer
    x = 208,947.78

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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.