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Finding the Third Proportional to 971.75 and 1,745.50

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Solution

The third proportional to 971.75 and 1,745.50 is: 3,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.75 : 1,745.50 = 1,745.50 : x
  2. Step 2: Convert to fraction form
    971.75/1,745.50 = 1,745.50/x
  3. Step 3: Cross multiply
    971.75x = 1,745.50 × 1,745.50
  4. Step 4: Simplify right side
    971.75x = 3,046,770.25
  5. Step 5: Solve for x
    x = 3,046,770.25/971.75
  6. Step 6: Final answer
    x = 3,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.