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Finding the Third Proportional to 8,633.25 and 18,624.94

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Solution

The third proportional to 8,633.25 and 18,624.94 is: 40,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.25 : 18,624.94 = 18,624.94 : x
  2. Step 2: Convert to fraction form
    8,633.25/18,624.94 = 18,624.94/x
  3. Step 3: Cross multiply
    8,633.25x = 18,624.94 × 18,624.94
  4. Step 4: Simplify right side
    8,633.25x = 346,888,296.88
  5. Step 5: Solve for x
    x = 346,888,296.88/8,633.25
  6. Step 6: Final answer
    x = 40,180.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.