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Finding the Third Proportional to 8,214.75 and 12,274.88

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Solution

The third proportional to 8,214.75 and 12,274.88 is: 18,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 12,274.88 = 12,274.88 : x
  2. Step 2: Convert to fraction form
    8,214.75/12,274.88 = 12,274.88/x
  3. Step 3: Cross multiply
    8,214.75x = 12,274.88 × 12,274.88
  4. Step 4: Simplify right side
    8,214.75x = 150,672,556.27
  5. Step 5: Solve for x
    x = 150,672,556.27/8,214.75
  6. Step 6: Final answer
    x = 18,341.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.