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Finding the Third Proportional to 4,078 and 9,923

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Solution

The third proportional to 4,078 and 9,923 is: 24,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 9,923 = 9,923 : x
  2. Step 2: Convert to fraction form
    4,078/9,923 = 9,923/x
  3. Step 3: Cross multiply
    4,078x = 9,923 × 9,923
  4. Step 4: Simplify right side
    4,078x = 98,465,929
  5. Step 5: Solve for x
    x = 98,465,929/4,078
  6. Step 6: Final answer
    x = 24,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.