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Finding the Third Proportional to 7,431 and 11,954.25

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Solution

The third proportional to 7,431 and 11,954.25 is: 19,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431 : 11,954.25 = 11,954.25 : x
  2. Step 2: Convert to fraction form
    7,431/11,954.25 = 11,954.25/x
  3. Step 3: Cross multiply
    7,431x = 11,954.25 × 11,954.25
  4. Step 4: Simplify right side
    7,431x = 142,904,093.06
  5. Step 5: Solve for x
    x = 142,904,093.06/7,431
  6. Step 6: Final answer
    x = 19,230.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.