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Finding the Third Proportional to 7,944.75 and 11,930.63

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Solution

The third proportional to 7,944.75 and 11,930.63 is: 17,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.75 : 11,930.63 = 11,930.63 : x
  2. Step 2: Convert to fraction form
    7,944.75/11,930.63 = 11,930.63/x
  3. Step 3: Cross multiply
    7,944.75x = 11,930.63 × 11,930.63
  4. Step 4: Simplify right side
    7,944.75x = 142,339,812.89
  5. Step 5: Solve for x
    x = 142,339,812.89/7,944.75
  6. Step 6: Final answer
    x = 17,916.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.