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Finding the Third Proportional to 2,986 and 5,330

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Solution

The third proportional to 2,986 and 5,330 is: 9,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986 : 5,330 = 5,330 : x
  2. Step 2: Convert to fraction form
    2,986/5,330 = 5,330/x
  3. Step 3: Cross multiply
    2,986x = 5,330 × 5,330
  4. Step 4: Simplify right side
    2,986x = 28,408,900
  5. Step 5: Solve for x
    x = 28,408,900/2,986
  6. Step 6: Final answer
    x = 9,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.