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Finding the Third Proportional to 6,500.25 and 13,775.25

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Solution

The third proportional to 6,500.25 and 13,775.25 is: 29,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 13,775.25 = 13,775.25 : x
  2. Step 2: Convert to fraction form
    6,500.25/13,775.25 = 13,775.25/x
  3. Step 3: Cross multiply
    6,500.25x = 13,775.25 × 13,775.25
  4. Step 4: Simplify right side
    6,500.25x = 189,757,512.56
  5. Step 5: Solve for x
    x = 189,757,512.56/6,500.25
  6. Step 6: Final answer
    x = 29,192.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.