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Finding the Third Proportional to 9,137.25 and 18,992.72

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Solution

The third proportional to 9,137.25 and 18,992.72 is: 39,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.25 : 18,992.72 = 18,992.72 : x
  2. Step 2: Convert to fraction form
    9,137.25/18,992.72 = 18,992.72/x
  3. Step 3: Cross multiply
    9,137.25x = 18,992.72 × 18,992.72
  4. Step 4: Simplify right side
    9,137.25x = 360,723,365.52
  5. Step 5: Solve for x
    x = 360,723,365.52/9,137.25
  6. Step 6: Final answer
    x = 39,478.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.