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Finding the Third Proportional to 6,351.19 and 13,584.94

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Solution

The third proportional to 6,351.19 and 13,584.94 is: 29,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.19 : 13,584.94 = 13,584.94 : x
  2. Step 2: Convert to fraction form
    6,351.19/13,584.94 = 13,584.94/x
  3. Step 3: Cross multiply
    6,351.19x = 13,584.94 × 13,584.94
  4. Step 4: Simplify right side
    6,351.19x = 184,550,526.88
  5. Step 5: Solve for x
    x = 184,550,526.88/6,351.19
  6. Step 6: Final answer
    x = 29,057.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.