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Finding the Third Proportional to 8,274.44 and 18,004.88

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Solution

The third proportional to 8,274.44 and 18,004.88 is: 39,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.44 : 18,004.88 = 18,004.88 : x
  2. Step 2: Convert to fraction form
    8,274.44/18,004.88 = 18,004.88/x
  3. Step 3: Cross multiply
    8,274.44x = 18,004.88 × 18,004.88
  4. Step 4: Simplify right side
    8,274.44x = 324,175,523.77
  5. Step 5: Solve for x
    x = 324,175,523.77/8,274.44
  6. Step 6: Final answer
    x = 39,177.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.