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Finding the Third Proportional to 14,912 and 34,493

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Solution

The third proportional to 14,912 and 34,493 is: 79,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912 : 34,493 = 34,493 : x
  2. Step 2: Convert to fraction form
    14,912/34,493 = 34,493/x
  3. Step 3: Cross multiply
    14,912x = 34,493 × 34,493
  4. Step 4: Simplify right side
    14,912x = 1,189,767,049
  5. Step 5: Solve for x
    x = 1,189,767,049/14,912
  6. Step 6: Final answer
    x = 79,785.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.