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Finding the Third Proportional to 12,296 and 19,598

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Solution

The third proportional to 12,296 and 19,598 is: 31,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 19,598 = 19,598 : x
  2. Step 2: Convert to fraction form
    12,296/19,598 = 19,598/x
  3. Step 3: Cross multiply
    12,296x = 19,598 × 19,598
  4. Step 4: Simplify right side
    12,296x = 384,081,604
  5. Step 5: Solve for x
    x = 384,081,604/12,296
  6. Step 6: Final answer
    x = 31,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.