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Finding the Third Proportional to 9,933.98 and 21,576.56

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Solution

The third proportional to 9,933.98 and 21,576.56 is: 46,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.98 : 21,576.56 = 21,576.56 : x
  2. Step 2: Convert to fraction form
    9,933.98/21,576.56 = 21,576.56/x
  3. Step 3: Cross multiply
    9,933.98x = 21,576.56 × 21,576.56
  4. Step 4: Simplify right side
    9,933.98x = 465,548,049.32
  5. Step 5: Solve for x
    x = 465,548,049.32/9,933.98
  6. Step 6: Final answer
    x = 46,864.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.