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Finding the Third Proportional to 9,268 and 19,303

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Solution

The third proportional to 9,268 and 19,303 is: 40,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268 : 19,303 = 19,303 : x
  2. Step 2: Convert to fraction form
    9,268/19,303 = 19,303/x
  3. Step 3: Cross multiply
    9,268x = 19,303 × 19,303
  4. Step 4: Simplify right side
    9,268x = 372,605,809
  5. Step 5: Solve for x
    x = 372,605,809/9,268
  6. Step 6: Final answer
    x = 40,203.48

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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.