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Finding the Third Proportional to 12,298 and 18,991

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Solution

The third proportional to 12,298 and 18,991 is: 29,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298 : 18,991 = 18,991 : x
  2. Step 2: Convert to fraction form
    12,298/18,991 = 18,991/x
  3. Step 3: Cross multiply
    12,298x = 18,991 × 18,991
  4. Step 4: Simplify right side
    12,298x = 360,658,081
  5. Step 5: Solve for x
    x = 360,658,081/12,298
  6. Step 6: Final answer
    x = 29,326.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.