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Finding the Third Proportional to 9,257.91 and 20,271.94

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Solution

The third proportional to 9,257.91 and 20,271.94 is: 44,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.91 : 20,271.94 = 20,271.94 : x
  2. Step 2: Convert to fraction form
    9,257.91/20,271.94 = 20,271.94/x
  3. Step 3: Cross multiply
    9,257.91x = 20,271.94 × 20,271.94
  4. Step 4: Simplify right side
    9,257.91x = 410,951,450.00
  5. Step 5: Solve for x
    x = 410,951,450.00/9,257.91
  6. Step 6: Final answer
    x = 44,389.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.