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Finding the Third Proportional to 833.34 and 1,834.31

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Solution

The third proportional to 833.34 and 1,834.31 is: 4,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.34 : 1,834.31 = 1,834.31 : x
  2. Step 2: Convert to fraction form
    833.34/1,834.31 = 1,834.31/x
  3. Step 3: Cross multiply
    833.34x = 1,834.31 × 1,834.31
  4. Step 4: Simplify right side
    833.34x = 3,364,702.35
  5. Step 5: Solve for x
    x = 3,364,702.35/833.34
  6. Step 6: Final answer
    x = 4,037.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.