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Finding the Third Proportional to 2,040 and 2,225

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Solution

The third proportional to 2,040 and 2,225 is: 2,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040 : 2,225 = 2,225 : x
  2. Step 2: Convert to fraction form
    2,040/2,225 = 2,225/x
  3. Step 3: Cross multiply
    2,040x = 2,225 × 2,225
  4. Step 4: Simplify right side
    2,040x = 4,950,625
  5. Step 5: Solve for x
    x = 4,950,625/2,040
  6. Step 6: Final answer
    x = 2,426.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.