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Finding the Third Proportional to 7,344 and 12,042

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Solution

The third proportional to 7,344 and 12,042 is: 19,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 12,042 = 12,042 : x
  2. Step 2: Convert to fraction form
    7,344/12,042 = 12,042/x
  3. Step 3: Cross multiply
    7,344x = 12,042 × 12,042
  4. Step 4: Simplify right side
    7,344x = 145,009,764
  5. Step 5: Solve for x
    x = 145,009,764/7,344
  6. Step 6: Final answer
    x = 19,745.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.