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Finding the Third Proportional to 735.94 and 1,702.31

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Solution

The third proportional to 735.94 and 1,702.31 is: 3,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.94 : 1,702.31 = 1,702.31 : x
  2. Step 2: Convert to fraction form
    735.94/1,702.31 = 1,702.31/x
  3. Step 3: Cross multiply
    735.94x = 1,702.31 × 1,702.31
  4. Step 4: Simplify right side
    735.94x = 2,897,867.85
  5. Step 5: Solve for x
    x = 2,897,867.85/735.94
  6. Step 6: Final answer
    x = 3,937.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.