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Finding the Third Proportional to 11,972 and 19,236

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Solution

The third proportional to 11,972 and 19,236 is: 30,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 19,236 = 19,236 : x
  2. Step 2: Convert to fraction form
    11,972/19,236 = 19,236/x
  3. Step 3: Cross multiply
    11,972x = 19,236 × 19,236
  4. Step 4: Simplify right side
    11,972x = 370,023,696
  5. Step 5: Solve for x
    x = 370,023,696/11,972
  6. Step 6: Final answer
    x = 30,907.43

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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.