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Finding the Third Proportional to 10,010.25 and 20,385

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Solution

The third proportional to 10,010.25 and 20,385 is: 41,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.25 : 20,385 = 20,385 : x
  2. Step 2: Convert to fraction form
    10,010.25/20,385 = 20,385/x
  3. Step 3: Cross multiply
    10,010.25x = 20,385 × 20,385
  4. Step 4: Simplify right side
    10,010.25x = 415,548,225
  5. Step 5: Solve for x
    x = 415,548,225/10,010.25
  6. Step 6: Final answer
    x = 41,512.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.