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Finding the Third Proportional to 5,930 and 13,745

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Solution

The third proportional to 5,930 and 13,745 is: 31,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930 : 13,745 = 13,745 : x
  2. Step 2: Convert to fraction form
    5,930/13,745 = 13,745/x
  3. Step 3: Cross multiply
    5,930x = 13,745 × 13,745
  4. Step 4: Simplify right side
    5,930x = 188,925,025
  5. Step 5: Solve for x
    x = 188,925,025/5,930
  6. Step 6: Final answer
    x = 31,859.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.