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Finding the Third Proportional to 11,988 and 15,462

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Solution

The third proportional to 11,988 and 15,462 is: 19,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988 : 15,462 = 15,462 : x
  2. Step 2: Convert to fraction form
    11,988/15,462 = 15,462/x
  3. Step 3: Cross multiply
    11,988x = 15,462 × 15,462
  4. Step 4: Simplify right side
    11,988x = 239,073,444
  5. Step 5: Solve for x
    x = 239,073,444/11,988
  6. Step 6: Final answer
    x = 19,942.73

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.