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Finding the Third Proportional to 9,257.73 and 18,643.61

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Solution

The third proportional to 9,257.73 and 18,643.61 is: 37,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.73 : 18,643.61 = 18,643.61 : x
  2. Step 2: Convert to fraction form
    9,257.73/18,643.61 = 18,643.61/x
  3. Step 3: Cross multiply
    9,257.73x = 18,643.61 × 18,643.61
  4. Step 4: Simplify right side
    9,257.73x = 347,584,024.87
  5. Step 5: Solve for x
    x = 347,584,024.87/9,257.73
  6. Step 6: Final answer
    x = 37,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.