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Finding the Third Proportional to 9,198.56 and 14,159.81

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Solution

The third proportional to 9,198.56 and 14,159.81 is: 21,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.56 : 14,159.81 = 14,159.81 : x
  2. Step 2: Convert to fraction form
    9,198.56/14,159.81 = 14,159.81/x
  3. Step 3: Cross multiply
    9,198.56x = 14,159.81 × 14,159.81
  4. Step 4: Simplify right side
    9,198.56x = 200,500,290.04
  5. Step 5: Solve for x
    x = 200,500,290.04/9,198.56
  6. Step 6: Final answer
    x = 21,796.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.