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Finding the Third Proportional to 5,414 and 11,830

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Solution

The third proportional to 5,414 and 11,830 is: 25,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 11,830 = 11,830 : x
  2. Step 2: Convert to fraction form
    5,414/11,830 = 11,830/x
  3. Step 3: Cross multiply
    5,414x = 11,830 × 11,830
  4. Step 4: Simplify right side
    5,414x = 139,948,900
  5. Step 5: Solve for x
    x = 139,948,900/5,414
  6. Step 6: Final answer
    x = 25,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.