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Finding the Third Proportional to 38,457 and 82,449

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Solution

The third proportional to 38,457 and 82,449 is: 176,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 82,449 = 82,449 : x
  2. Step 2: Convert to fraction form
    38,457/82,449 = 82,449/x
  3. Step 3: Cross multiply
    38,457x = 82,449 × 82,449
  4. Step 4: Simplify right side
    38,457x = 6,797,837,601
  5. Step 5: Solve for x
    x = 6,797,837,601/38,457
  6. Step 6: Final answer
    x = 176,764.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.