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Finding the Third Proportional to 8,454 and 18,851

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Solution

The third proportional to 8,454 and 18,851 is: 42,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 18,851 = 18,851 : x
  2. Step 2: Convert to fraction form
    8,454/18,851 = 18,851/x
  3. Step 3: Cross multiply
    8,454x = 18,851 × 18,851
  4. Step 4: Simplify right side
    8,454x = 355,360,201
  5. Step 5: Solve for x
    x = 355,360,201/8,454
  6. Step 6: Final answer
    x = 42,034.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.