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Finding the Third Proportional to 12,452 and 19,042

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Solution

The third proportional to 12,452 and 19,042 is: 29,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452 : 19,042 = 19,042 : x
  2. Step 2: Convert to fraction form
    12,452/19,042 = 19,042/x
  3. Step 3: Cross multiply
    12,452x = 19,042 × 19,042
  4. Step 4: Simplify right side
    12,452x = 362,597,764
  5. Step 5: Solve for x
    x = 362,597,764/12,452
  6. Step 6: Final answer
    x = 29,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.