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Finding the Third Proportional to 6,738.19 and 11,094.47

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Solution

The third proportional to 6,738.19 and 11,094.47 is: 18,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 11,094.47 = 11,094.47 : x
  2. Step 2: Convert to fraction form
    6,738.19/11,094.47 = 11,094.47/x
  3. Step 3: Cross multiply
    6,738.19x = 11,094.47 × 11,094.47
  4. Step 4: Simplify right side
    6,738.19x = 123,087,236.84
  5. Step 5: Solve for x
    x = 123,087,236.84/6,738.19
  6. Step 6: Final answer
    x = 18,267.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.