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Finding the Third Proportional to 6,745.78 and 14,466.09

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Solution

The third proportional to 6,745.78 and 14,466.09 is: 31,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.78 : 14,466.09 = 14,466.09 : x
  2. Step 2: Convert to fraction form
    6,745.78/14,466.09 = 14,466.09/x
  3. Step 3: Cross multiply
    6,745.78x = 14,466.09 × 14,466.09
  4. Step 4: Simplify right side
    6,745.78x = 209,267,868.38
  5. Step 5: Solve for x
    x = 209,267,868.38/6,745.78
  6. Step 6: Final answer
    x = 31,022.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.