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Finding the Third Proportional to 7,674.26 and 11,464.04

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Solution

The third proportional to 7,674.26 and 11,464.04 is: 17,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.26 : 11,464.04 = 11,464.04 : x
  2. Step 2: Convert to fraction form
    7,674.26/11,464.04 = 11,464.04/x
  3. Step 3: Cross multiply
    7,674.26x = 11,464.04 × 11,464.04
  4. Step 4: Simplify right side
    7,674.26x = 131,424,239.21
  5. Step 5: Solve for x
    x = 131,424,239.21/7,674.26
  6. Step 6: Final answer
    x = 17,125.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.