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Finding the Third Proportional to 705 and 1,905

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Solution

The third proportional to 705 and 1,905 is: 5,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,905 = 1,905 : x
  2. Step 2: Convert to fraction form
    705/1,905 = 1,905/x
  3. Step 3: Cross multiply
    705x = 1,905 × 1,905
  4. Step 4: Simplify right side
    705x = 3,629,025
  5. Step 5: Solve for x
    x = 3,629,025/705
  6. Step 6: Final answer
    x = 5,147.55

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.