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Finding the Third Proportional to 5,940 and 12,195

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Solution

The third proportional to 5,940 and 12,195 is: 25,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 12,195 = 12,195 : x
  2. Step 2: Convert to fraction form
    5,940/12,195 = 12,195/x
  3. Step 3: Cross multiply
    5,940x = 12,195 × 12,195
  4. Step 4: Simplify right side
    5,940x = 148,718,025
  5. Step 5: Solve for x
    x = 148,718,025/5,940
  6. Step 6: Final answer
    x = 25,036.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.