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Finding the Third Proportional to 2,725 and 4,205

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Solution

The third proportional to 2,725 and 4,205 is: 6,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725 : 4,205 = 4,205 : x
  2. Step 2: Convert to fraction form
    2,725/4,205 = 4,205/x
  3. Step 3: Cross multiply
    2,725x = 4,205 × 4,205
  4. Step 4: Simplify right side
    2,725x = 17,682,025
  5. Step 5: Solve for x
    x = 17,682,025/2,725
  6. Step 6: Final answer
    x = 6,488.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.