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Finding the Third Proportional to 1,225 and 1,845

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Solution

The third proportional to 1,225 and 1,845 is: 2,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225 : 1,845 = 1,845 : x
  2. Step 2: Convert to fraction form
    1,225/1,845 = 1,845/x
  3. Step 3: Cross multiply
    1,225x = 1,845 × 1,845
  4. Step 4: Simplify right side
    1,225x = 3,404,025
  5. Step 5: Solve for x
    x = 3,404,025/1,225
  6. Step 6: Final answer
    x = 2,778.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.