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Finding the Third Proportional to 2,025 and 3,645

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Solution

The third proportional to 2,025 and 3,645 is: 6,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 3,645 = 3,645 : x
  2. Step 2: Convert to fraction form
    2,025/3,645 = 3,645/x
  3. Step 3: Cross multiply
    2,025x = 3,645 × 3,645
  4. Step 4: Simplify right side
    2,025x = 13,286,025
  5. Step 5: Solve for x
    x = 13,286,025/2,025
  6. Step 6: Final answer
    x = 6,561

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.