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Finding the Third Proportional to 8,454 and 18,600

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Solution

The third proportional to 8,454 and 18,600 is: 40,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 18,600 = 18,600 : x
  2. Step 2: Convert to fraction form
    8,454/18,600 = 18,600/x
  3. Step 3: Cross multiply
    8,454x = 18,600 × 18,600
  4. Step 4: Simplify right side
    8,454x = 345,960,000
  5. Step 5: Solve for x
    x = 345,960,000/8,454
  6. Step 6: Final answer
    x = 40,922.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.