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Finding the Third Proportional to 8,201.75 and 19,256

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Solution

The third proportional to 8,201.75 and 19,256 is: 45,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.75 : 19,256 = 19,256 : x
  2. Step 2: Convert to fraction form
    8,201.75/19,256 = 19,256/x
  3. Step 3: Cross multiply
    8,201.75x = 19,256 × 19,256
  4. Step 4: Simplify right side
    8,201.75x = 370,793,536
  5. Step 5: Solve for x
    x = 370,793,536/8,201.75
  6. Step 6: Final answer
    x = 45,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.