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Finding the Third Proportional to 6,483.88 and 13,205.25

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Solution

The third proportional to 6,483.88 and 13,205.25 is: 26,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.88 : 13,205.25 = 13,205.25 : x
  2. Step 2: Convert to fraction form
    6,483.88/13,205.25 = 13,205.25/x
  3. Step 3: Cross multiply
    6,483.88x = 13,205.25 × 13,205.25
  4. Step 4: Simplify right side
    6,483.88x = 174,378,627.56
  5. Step 5: Solve for x
    x = 174,378,627.56/6,483.88
  6. Step 6: Final answer
    x = 26,894.20

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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.