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Finding the Third Proportional to 13,885 and 30,235

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Solution

The third proportional to 13,885 and 30,235 is: 65,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885 : 30,235 = 30,235 : x
  2. Step 2: Convert to fraction form
    13,885/30,235 = 30,235/x
  3. Step 3: Cross multiply
    13,885x = 30,235 × 30,235
  4. Step 4: Simplify right side
    13,885x = 914,155,225
  5. Step 5: Solve for x
    x = 914,155,225/13,885
  6. Step 6: Final answer
    x = 65,837.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.