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Finding the Third Proportional to 1,740 and 2,205

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Solution

The third proportional to 1,740 and 2,205 is: 2,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740 : 2,205 = 2,205 : x
  2. Step 2: Convert to fraction form
    1,740/2,205 = 2,205/x
  3. Step 3: Cross multiply
    1,740x = 2,205 × 2,205
  4. Step 4: Simplify right side
    1,740x = 4,862,025
  5. Step 5: Solve for x
    x = 4,862,025/1,740
  6. Step 6: Final answer
    x = 2,794.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.