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Finding the Third Proportional to 765.50 and 1,729.25

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Solution

The third proportional to 765.50 and 1,729.25 is: 3,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,729.25 = 1,729.25 : x
  2. Step 2: Convert to fraction form
    765.50/1,729.25 = 1,729.25/x
  3. Step 3: Cross multiply
    765.50x = 1,729.25 × 1,729.25
  4. Step 4: Simplify right side
    765.50x = 2,990,305.56
  5. Step 5: Solve for x
    x = 2,990,305.56/765.50
  6. Step 6: Final answer
    x = 3,906.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.