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Finding the Third Proportional to 8,226 and 10,089

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Solution

The third proportional to 8,226 and 10,089 is: 12,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 10,089 = 10,089 : x
  2. Step 2: Convert to fraction form
    8,226/10,089 = 10,089/x
  3. Step 3: Cross multiply
    8,226x = 10,089 × 10,089
  4. Step 4: Simplify right side
    8,226x = 101,787,921
  5. Step 5: Solve for x
    x = 101,787,921/8,226
  6. Step 6: Final answer
    x = 12,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.