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Finding the Third Proportional to 9,142.31 and 13,653.56

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Solution

The third proportional to 9,142.31 and 13,653.56 is: 20,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.31 : 13,653.56 = 13,653.56 : x
  2. Step 2: Convert to fraction form
    9,142.31/13,653.56 = 13,653.56/x
  3. Step 3: Cross multiply
    9,142.31x = 13,653.56 × 13,653.56
  4. Step 4: Simplify right side
    9,142.31x = 186,419,768.94
  5. Step 5: Solve for x
    x = 186,419,768.94/9,142.31
  6. Step 6: Final answer
    x = 20,390.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.