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Finding the Third Proportional to 5,437 and 11,930

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Solution

The third proportional to 5,437 and 11,930 is: 26,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437 : 11,930 = 11,930 : x
  2. Step 2: Convert to fraction form
    5,437/11,930 = 11,930/x
  3. Step 3: Cross multiply
    5,437x = 11,930 × 11,930
  4. Step 4: Simplify right side
    5,437x = 142,324,900
  5. Step 5: Solve for x
    x = 142,324,900/5,437
  6. Step 6: Final answer
    x = 26,177.10

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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.