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Finding the Third Proportional to 8,641.69 and 16,804.97

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Solution

The third proportional to 8,641.69 and 16,804.97 is: 32,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 16,804.97 = 16,804.97 : x
  2. Step 2: Convert to fraction form
    8,641.69/16,804.97 = 16,804.97/x
  3. Step 3: Cross multiply
    8,641.69x = 16,804.97 × 16,804.97
  4. Step 4: Simplify right side
    8,641.69x = 282,406,974.69
  5. Step 5: Solve for x
    x = 282,406,974.69/8,641.69
  6. Step 6: Final answer
    x = 32,679.61

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.