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Finding the Third Proportional to 4,945.72 and 11,674.91

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Solution

The third proportional to 4,945.72 and 11,674.91 is: 27,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.72 : 11,674.91 = 11,674.91 : x
  2. Step 2: Convert to fraction form
    4,945.72/11,674.91 = 11,674.91/x
  3. Step 3: Cross multiply
    4,945.72x = 11,674.91 × 11,674.91
  4. Step 4: Simplify right side
    4,945.72x = 136,303,435.95
  5. Step 5: Solve for x
    x = 136,303,435.95/4,945.72
  6. Step 6: Final answer
    x = 27,559.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.