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Finding the Third Proportional to 8,922 and 19,201

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Solution

The third proportional to 8,922 and 19,201 is: 41,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922 : 19,201 = 19,201 : x
  2. Step 2: Convert to fraction form
    8,922/19,201 = 19,201/x
  3. Step 3: Cross multiply
    8,922x = 19,201 × 19,201
  4. Step 4: Simplify right side
    8,922x = 368,678,401
  5. Step 5: Solve for x
    x = 368,678,401/8,922
  6. Step 6: Final answer
    x = 41,322.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.