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Finding the Third Proportional to 4,190 and 11,399

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Solution

The third proportional to 4,190 and 11,399 is: 31,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 11,399 = 11,399 : x
  2. Step 2: Convert to fraction form
    4,190/11,399 = 11,399/x
  3. Step 3: Cross multiply
    4,190x = 11,399 × 11,399
  4. Step 4: Simplify right side
    4,190x = 129,937,201
  5. Step 5: Solve for x
    x = 129,937,201/4,190
  6. Step 6: Final answer
    x = 31,011.27

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.