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Finding the Third Proportional to 4,273.88 and 9,327.09

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Solution

The third proportional to 4,273.88 and 9,327.09 is: 20,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.88 : 9,327.09 = 9,327.09 : x
  2. Step 2: Convert to fraction form
    4,273.88/9,327.09 = 9,327.09/x
  3. Step 3: Cross multiply
    4,273.88x = 9,327.09 × 9,327.09
  4. Step 4: Simplify right side
    4,273.88x = 86,994,677.82
  5. Step 5: Solve for x
    x = 86,994,677.82/4,273.88
  6. Step 6: Final answer
    x = 20,354.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.