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Finding the Third Proportional to 9,390.94 and 21,837.09

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Solution

The third proportional to 9,390.94 and 21,837.09 is: 50,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.94 : 21,837.09 = 21,837.09 : x
  2. Step 2: Convert to fraction form
    9,390.94/21,837.09 = 21,837.09/x
  3. Step 3: Cross multiply
    9,390.94x = 21,837.09 × 21,837.09
  4. Step 4: Simplify right side
    9,390.94x = 476,858,663.45
  5. Step 5: Solve for x
    x = 476,858,663.45/9,390.94
  6. Step 6: Final answer
    x = 50,778.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.