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Finding the Third Proportional to 8,974 and 9,838

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Solution

The third proportional to 8,974 and 9,838 is: 10,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974 : 9,838 = 9,838 : x
  2. Step 2: Convert to fraction form
    8,974/9,838 = 9,838/x
  3. Step 3: Cross multiply
    8,974x = 9,838 × 9,838
  4. Step 4: Simplify right side
    8,974x = 96,786,244
  5. Step 5: Solve for x
    x = 96,786,244/8,974
  6. Step 6: Final answer
    x = 10,785.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.