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Finding the Third Proportional to 2,327.63 and 5,489.44

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Solution

The third proportional to 2,327.63 and 5,489.44 is: 12,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.63 : 5,489.44 = 5,489.44 : x
  2. Step 2: Convert to fraction form
    2,327.63/5,489.44 = 5,489.44/x
  3. Step 3: Cross multiply
    2,327.63x = 5,489.44 × 5,489.44
  4. Step 4: Simplify right side
    2,327.63x = 30,133,924.07
  5. Step 5: Solve for x
    x = 30,133,924.07/2,327.63
  6. Step 6: Final answer
    x = 12,946.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.