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Finding the Third Proportional to 9,323.23 and 14,181.33

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Solution

The third proportional to 9,323.23 and 14,181.33 is: 21,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.23 : 14,181.33 = 14,181.33 : x
  2. Step 2: Convert to fraction form
    9,323.23/14,181.33 = 14,181.33/x
  3. Step 3: Cross multiply
    9,323.23x = 14,181.33 × 14,181.33
  4. Step 4: Simplify right side
    9,323.23x = 201,110,067.39
  5. Step 5: Solve for x
    x = 201,110,067.39/9,323.23
  6. Step 6: Final answer
    x = 21,570.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.