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Finding the Third Proportional to 5,636.25 and 11,630.25

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Solution

The third proportional to 5,636.25 and 11,630.25 is: 23,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.25 : 11,630.25 = 11,630.25 : x
  2. Step 2: Convert to fraction form
    5,636.25/11,630.25 = 11,630.25/x
  3. Step 3: Cross multiply
    5,636.25x = 11,630.25 × 11,630.25
  4. Step 4: Simplify right side
    5,636.25x = 135,262,715.06
  5. Step 5: Solve for x
    x = 135,262,715.06/5,636.25
  6. Step 6: Final answer
    x = 23,998.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.