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Finding the Third Proportional to 856.83 and 1,850.34

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Solution

The third proportional to 856.83 and 1,850.34 is: 3,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,850.34 = 1,850.34 : x
  2. Step 2: Convert to fraction form
    856.83/1,850.34 = 1,850.34/x
  3. Step 3: Cross multiply
    856.83x = 1,850.34 × 1,850.34
  4. Step 4: Simplify right side
    856.83x = 3,423,771.99
  5. Step 5: Solve for x
    x = 3,423,771.99/856.83
  6. Step 6: Final answer
    x = 3,995.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.