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Finding the Third Proportional to 965.67 and 1,745.30

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Solution

The third proportional to 965.67 and 1,745.30 is: 3,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.67 : 1,745.30 = 1,745.30 : x
  2. Step 2: Convert to fraction form
    965.67/1,745.30 = 1,745.30/x
  3. Step 3: Cross multiply
    965.67x = 1,745.30 × 1,745.30
  4. Step 4: Simplify right side
    965.67x = 3,046,061.18
  5. Step 5: Solve for x
    x = 3,046,061.18/965.67
  6. Step 6: Final answer
    x = 3,154.34

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.