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Finding the Third Proportional to 735.75 and 1,734.38

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Solution

The third proportional to 735.75 and 1,734.38 is: 4,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,734.38 = 1,734.38 : x
  2. Step 2: Convert to fraction form
    735.75/1,734.38 = 1,734.38/x
  3. Step 3: Cross multiply
    735.75x = 1,734.38 × 1,734.38
  4. Step 4: Simplify right side
    735.75x = 3,008,056.64
  5. Step 5: Solve for x
    x = 3,008,056.64/735.75
  6. Step 6: Final answer
    x = 4,088.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.