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Finding the Third Proportional to 12,296 and 19,340

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Solution

The third proportional to 12,296 and 19,340 is: 30,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 19,340 = 19,340 : x
  2. Step 2: Convert to fraction form
    12,296/19,340 = 19,340/x
  3. Step 3: Cross multiply
    12,296x = 19,340 × 19,340
  4. Step 4: Simplify right side
    12,296x = 374,035,600
  5. Step 5: Solve for x
    x = 374,035,600/12,296
  6. Step 6: Final answer
    x = 30,419.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.