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Finding the Third Proportional to 3,190 and 5,750

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Solution

The third proportional to 3,190 and 5,750 is: 10,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190 : 5,750 = 5,750 : x
  2. Step 2: Convert to fraction form
    3,190/5,750 = 5,750/x
  3. Step 3: Cross multiply
    3,190x = 5,750 × 5,750
  4. Step 4: Simplify right side
    3,190x = 33,062,500
  5. Step 5: Solve for x
    x = 33,062,500/3,190
  6. Step 6: Final answer
    x = 10,364.42

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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.