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Finding the Third Proportional to 14,467 and 30,085

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Solution

The third proportional to 14,467 and 30,085 is: 62,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 30,085 = 30,085 : x
  2. Step 2: Convert to fraction form
    14,467/30,085 = 30,085/x
  3. Step 3: Cross multiply
    14,467x = 30,085 × 30,085
  4. Step 4: Simplify right side
    14,467x = 905,107,225
  5. Step 5: Solve for x
    x = 905,107,225/14,467
  6. Step 6: Final answer
    x = 62,563.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.