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Finding the Third Proportional to 8,022 and 9,237

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Solution

The third proportional to 8,022 and 9,237 is: 10,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022 : 9,237 = 9,237 : x
  2. Step 2: Convert to fraction form
    8,022/9,237 = 9,237/x
  3. Step 3: Cross multiply
    8,022x = 9,237 × 9,237
  4. Step 4: Simplify right side
    8,022x = 85,322,169
  5. Step 5: Solve for x
    x = 85,322,169/8,022
  6. Step 6: Final answer
    x = 10,636.02

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.