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Finding the Third Proportional to 1,698.75 and 4,092.19

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Solution

The third proportional to 1,698.75 and 4,092.19 is: 9,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.75 : 4,092.19 = 4,092.19 : x
  2. Step 2: Convert to fraction form
    1,698.75/4,092.19 = 4,092.19/x
  3. Step 3: Cross multiply
    1,698.75x = 4,092.19 × 4,092.19
  4. Step 4: Simplify right side
    1,698.75x = 16,745,998.54
  5. Step 5: Solve for x
    x = 16,745,998.54/1,698.75
  6. Step 6: Final answer
    x = 9,857.84

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.