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Finding the Third Proportional to 14,013 and 30,285

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Solution

The third proportional to 14,013 and 30,285 is: 65,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 30,285 = 30,285 : x
  2. Step 2: Convert to fraction form
    14,013/30,285 = 30,285/x
  3. Step 3: Cross multiply
    14,013x = 30,285 × 30,285
  4. Step 4: Simplify right side
    14,013x = 917,181,225
  5. Step 5: Solve for x
    x = 917,181,225/14,013
  6. Step 6: Final answer
    x = 65,452.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.