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Finding the Third Proportional to 9,874 and 12,923

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Solution

The third proportional to 9,874 and 12,923 is: 16,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874 : 12,923 = 12,923 : x
  2. Step 2: Convert to fraction form
    9,874/12,923 = 12,923/x
  3. Step 3: Cross multiply
    9,874x = 12,923 × 12,923
  4. Step 4: Simplify right side
    9,874x = 167,003,929
  5. Step 5: Solve for x
    x = 167,003,929/9,874
  6. Step 6: Final answer
    x = 16,913.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.