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Finding the Third Proportional to 5,860 and 13,654

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Solution

The third proportional to 5,860 and 13,654 is: 31,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860 : 13,654 = 13,654 : x
  2. Step 2: Convert to fraction form
    5,860/13,654 = 13,654/x
  3. Step 3: Cross multiply
    5,860x = 13,654 × 13,654
  4. Step 4: Simplify right side
    5,860x = 186,431,716
  5. Step 5: Solve for x
    x = 186,431,716/5,860
  6. Step 6: Final answer
    x = 31,814.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.