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Finding the Third Proportional to 3,674.63 and 8,672.63

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Solution

The third proportional to 3,674.63 and 8,672.63 is: 20,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.63 : 8,672.63 = 8,672.63 : x
  2. Step 2: Convert to fraction form
    3,674.63/8,672.63 = 8,672.63/x
  3. Step 3: Cross multiply
    3,674.63x = 8,672.63 × 8,672.63
  4. Step 4: Simplify right side
    3,674.63x = 75,214,424.39
  5. Step 5: Solve for x
    x = 75,214,424.39/3,674.63
  6. Step 6: Final answer
    x = 20,468.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.