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Finding the Third Proportional to 3,636.38 and 7,829.44

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Solution

The third proportional to 3,636.38 and 7,829.44 is: 16,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.38 : 7,829.44 = 7,829.44 : x
  2. Step 2: Convert to fraction form
    3,636.38/7,829.44 = 7,829.44/x
  3. Step 3: Cross multiply
    3,636.38x = 7,829.44 × 7,829.44
  4. Step 4: Simplify right side
    3,636.38x = 61,300,091.57
  5. Step 5: Solve for x
    x = 61,300,091.57/3,636.38
  6. Step 6: Final answer
    x = 16,857.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.