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Finding the Third Proportional to 7,431.75 and 11,955.38

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Solution

The third proportional to 7,431.75 and 11,955.38 is: 19,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 11,955.38 = 11,955.38 : x
  2. Step 2: Convert to fraction form
    7,431.75/11,955.38 = 11,955.38/x
  3. Step 3: Cross multiply
    7,431.75x = 11,955.38 × 11,955.38
  4. Step 4: Simplify right side
    7,431.75x = 142,930,991.39
  5. Step 5: Solve for x
    x = 142,930,991.39/7,431.75
  6. Step 6: Final answer
    x = 19,232.48

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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.