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Finding the Third Proportional to 18,196 and 23,406

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Solution

The third proportional to 18,196 and 23,406 is: 30,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196 : 23,406 = 23,406 : x
  2. Step 2: Convert to fraction form
    18,196/23,406 = 23,406/x
  3. Step 3: Cross multiply
    18,196x = 23,406 × 23,406
  4. Step 4: Simplify right side
    18,196x = 547,840,836
  5. Step 5: Solve for x
    x = 547,840,836/18,196
  6. Step 6: Final answer
    x = 30,107.76

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.