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Finding the Third Proportional to 7,071.75 and 13,964.75

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Solution

The third proportional to 7,071.75 and 13,964.75 is: 27,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.75 : 13,964.75 = 13,964.75 : x
  2. Step 2: Convert to fraction form
    7,071.75/13,964.75 = 13,964.75/x
  3. Step 3: Cross multiply
    7,071.75x = 13,964.75 × 13,964.75
  4. Step 4: Simplify right side
    7,071.75x = 195,014,242.56
  5. Step 5: Solve for x
    x = 195,014,242.56/7,071.75
  6. Step 6: Final answer
    x = 27,576.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.