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Finding the Third Proportional to 8,205.75 and 19,694.25

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Solution

The third proportional to 8,205.75 and 19,694.25 is: 47,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.75 : 19,694.25 = 19,694.25 : x
  2. Step 2: Convert to fraction form
    8,205.75/19,694.25 = 19,694.25/x
  3. Step 3: Cross multiply
    8,205.75x = 19,694.25 × 19,694.25
  4. Step 4: Simplify right side
    8,205.75x = 387,863,483.06
  5. Step 5: Solve for x
    x = 387,863,483.06/8,205.75
  6. Step 6: Final answer
    x = 47,267.28

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.