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Finding the Third Proportional to 1,998.42 and 3,127.99

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Solution

The third proportional to 1,998.42 and 3,127.99 is: 4,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.42 : 3,127.99 = 3,127.99 : x
  2. Step 2: Convert to fraction form
    1,998.42/3,127.99 = 3,127.99/x
  3. Step 3: Cross multiply
    1,998.42x = 3,127.99 × 3,127.99
  4. Step 4: Simplify right side
    1,998.42x = 9,784,335.13
  5. Step 5: Solve for x
    x = 9,784,335.13/1,998.42
  6. Step 6: Final answer
    x = 4,896.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.