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Finding the Third Proportional to 856.41 and 1,834.31

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Solution

The third proportional to 856.41 and 1,834.31 is: 3,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,834.31 = 1,834.31 : x
  2. Step 2: Convert to fraction form
    856.41/1,834.31 = 1,834.31/x
  3. Step 3: Cross multiply
    856.41x = 1,834.31 × 1,834.31
  4. Step 4: Simplify right side
    856.41x = 3,364,702.35
  5. Step 5: Solve for x
    x = 3,364,702.35/856.41
  6. Step 6: Final answer
    x = 3,928.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.