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Finding the Third Proportional to 735.03 and 1,125.97

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Solution

The third proportional to 735.03 and 1,125.97 is: 1,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.03 : 1,125.97 = 1,125.97 : x
  2. Step 2: Convert to fraction form
    735.03/1,125.97 = 1,125.97/x
  3. Step 3: Cross multiply
    735.03x = 1,125.97 × 1,125.97
  4. Step 4: Simplify right side
    735.03x = 1,267,805.63
  5. Step 5: Solve for x
    x = 1,267,805.63/735.03
  6. Step 6: Final answer
    x = 1,724.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.