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Finding the Third Proportional to 14,270 and 30,734

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Solution

The third proportional to 14,270 and 30,734 is: 66,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270 : 30,734 = 30,734 : x
  2. Step 2: Convert to fraction form
    14,270/30,734 = 30,734/x
  3. Step 3: Cross multiply
    14,270x = 30,734 × 30,734
  4. Step 4: Simplify right side
    14,270x = 944,578,756
  5. Step 5: Solve for x
    x = 944,578,756/14,270
  6. Step 6: Final answer
    x = 66,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.