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Finding the Third Proportional to 7,467 and 12,012

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Solution

The third proportional to 7,467 and 12,012 is: 19,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467 : 12,012 = 12,012 : x
  2. Step 2: Convert to fraction form
    7,467/12,012 = 12,012/x
  3. Step 3: Cross multiply
    7,467x = 12,012 × 12,012
  4. Step 4: Simplify right side
    7,467x = 144,288,144
  5. Step 5: Solve for x
    x = 144,288,144/7,467
  6. Step 6: Final answer
    x = 19,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.