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Finding the Third Proportional to 6,794.51 and 14,968.23

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Solution

The third proportional to 6,794.51 and 14,968.23 is: 32,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.51 : 14,968.23 = 14,968.23 : x
  2. Step 2: Convert to fraction form
    6,794.51/14,968.23 = 14,968.23/x
  3. Step 3: Cross multiply
    6,794.51x = 14,968.23 × 14,968.23
  4. Step 4: Simplify right side
    6,794.51x = 224,047,923.37
  5. Step 5: Solve for x
    x = 224,047,923.37/6,794.51
  6. Step 6: Final answer
    x = 32,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.