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Finding the Third Proportional to 3,180.09 and 7,054.59

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Solution

The third proportional to 3,180.09 and 7,054.59 is: 15,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.09 : 7,054.59 = 7,054.59 : x
  2. Step 2: Convert to fraction form
    3,180.09/7,054.59 = 7,054.59/x
  3. Step 3: Cross multiply
    3,180.09x = 7,054.59 × 7,054.59
  4. Step 4: Simplify right side
    3,180.09x = 49,767,292.98
  5. Step 5: Solve for x
    x = 49,767,292.98/3,180.09
  6. Step 6: Final answer
    x = 15,649.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.