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Finding the Third Proportional to 856 and 1,757

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Solution

The third proportional to 856 and 1,757 is: 3,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,757 = 1,757 : x
  2. Step 2: Convert to fraction form
    856/1,757 = 1,757/x
  3. Step 3: Cross multiply
    856x = 1,757 × 1,757
  4. Step 4: Simplify right side
    856x = 3,087,049
  5. Step 5: Solve for x
    x = 3,087,049/856
  6. Step 6: Final answer
    x = 3,606.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.