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Finding the Third Proportional to 1,321.31 and 1,992.09

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Solution

The third proportional to 1,321.31 and 1,992.09 is: 3,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.31 : 1,992.09 = 1,992.09 : x
  2. Step 2: Convert to fraction form
    1,321.31/1,992.09 = 1,992.09/x
  3. Step 3: Cross multiply
    1,321.31x = 1,992.09 × 1,992.09
  4. Step 4: Simplify right side
    1,321.31x = 3,968,437.51
  5. Step 5: Solve for x
    x = 3,968,437.51/1,321.31
  6. Step 6: Final answer
    x = 3,003.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.