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Finding the Third Proportional to 3,261.09 and 7,025.06

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Solution

The third proportional to 3,261.09 and 7,025.06 is: 15,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.09 : 7,025.06 = 7,025.06 : x
  2. Step 2: Convert to fraction form
    3,261.09/7,025.06 = 7,025.06/x
  3. Step 3: Cross multiply
    3,261.09x = 7,025.06 × 7,025.06
  4. Step 4: Simplify right side
    3,261.09x = 49,351,503.13
  5. Step 5: Solve for x
    x = 49,351,503.13/3,261.09
  6. Step 6: Final answer
    x = 15,133.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.