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Finding the Third Proportional to 13,860 and 18,935

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Solution

The third proportional to 13,860 and 18,935 is: 25,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 18,935 = 18,935 : x
  2. Step 2: Convert to fraction form
    13,860/18,935 = 18,935/x
  3. Step 3: Cross multiply
    13,860x = 18,935 × 18,935
  4. Step 4: Simplify right side
    13,860x = 358,534,225
  5. Step 5: Solve for x
    x = 358,534,225/13,860
  6. Step 6: Final answer
    x = 25,868.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.