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Finding the Third Proportional to 6,327.28 and 13,846.36

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Solution

The third proportional to 6,327.28 and 13,846.36 is: 30,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.28 : 13,846.36 = 13,846.36 : x
  2. Step 2: Convert to fraction form
    6,327.28/13,846.36 = 13,846.36/x
  3. Step 3: Cross multiply
    6,327.28x = 13,846.36 × 13,846.36
  4. Step 4: Simplify right side
    6,327.28x = 191,721,667.94
  5. Step 5: Solve for x
    x = 191,721,667.94/6,327.28
  6. Step 6: Final answer
    x = 30,300.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.