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Finding the Third Proportional to 9,047 and 11,923

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Solution

The third proportional to 9,047 and 11,923 is: 15,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047 : 11,923 = 11,923 : x
  2. Step 2: Convert to fraction form
    9,047/11,923 = 11,923/x
  3. Step 3: Cross multiply
    9,047x = 11,923 × 11,923
  4. Step 4: Simplify right side
    9,047x = 142,157,929
  5. Step 5: Solve for x
    x = 142,157,929/9,047
  6. Step 6: Final answer
    x = 15,713.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.