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Finding the Third Proportional to 11,698.31 and 18,327.38

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Solution

The third proportional to 11,698.31 and 18,327.38 is: 28,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.31 : 18,327.38 = 18,327.38 : x
  2. Step 2: Convert to fraction form
    11,698.31/18,327.38 = 18,327.38/x
  3. Step 3: Cross multiply
    11,698.31x = 18,327.38 × 18,327.38
  4. Step 4: Simplify right side
    11,698.31x = 335,892,674.39
  5. Step 5: Solve for x
    x = 335,892,674.39/11,698.31
  6. Step 6: Final answer
    x = 28,712.92

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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.