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Finding the Third Proportional to 6,596.75 and 13,462.14

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Solution

The third proportional to 6,596.75 and 13,462.14 is: 27,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.75 : 13,462.14 = 13,462.14 : x
  2. Step 2: Convert to fraction form
    6,596.75/13,462.14 = 13,462.14/x
  3. Step 3: Cross multiply
    6,596.75x = 13,462.14 × 13,462.14
  4. Step 4: Simplify right side
    6,596.75x = 181,229,125.03
  5. Step 5: Solve for x
    x = 181,229,125.03/6,596.75
  6. Step 6: Final answer
    x = 27,472.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.