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Finding the Third Proportional to 9,872 and 14,104

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Solution

The third proportional to 9,872 and 14,104 is: 20,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 14,104 = 14,104 : x
  2. Step 2: Convert to fraction form
    9,872/14,104 = 14,104/x
  3. Step 3: Cross multiply
    9,872x = 14,104 × 14,104
  4. Step 4: Simplify right side
    9,872x = 198,922,816
  5. Step 5: Solve for x
    x = 198,922,816/9,872
  6. Step 6: Final answer
    x = 20,150.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.