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Finding the Third Proportional to 6,584 and 13,942.63

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Solution

The third proportional to 6,584 and 13,942.63 is: 29,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 13,942.63 = 13,942.63 : x
  2. Step 2: Convert to fraction form
    6,584/13,942.63 = 13,942.63/x
  3. Step 3: Cross multiply
    6,584x = 13,942.63 × 13,942.63
  4. Step 4: Simplify right side
    6,584x = 194,396,791.89
  5. Step 5: Solve for x
    x = 194,396,791.89/6,584
  6. Step 6: Final answer
    x = 29,525.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.