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Finding the Third Proportional to 38,374 and 82,795

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Solution

The third proportional to 38,374 and 82,795 is: 178,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374 : 82,795 = 82,795 : x
  2. Step 2: Convert to fraction form
    38,374/82,795 = 82,795/x
  3. Step 3: Cross multiply
    38,374x = 82,795 × 82,795
  4. Step 4: Simplify right side
    38,374x = 6,855,012,025
  5. Step 5: Solve for x
    x = 6,855,012,025/38,374
  6. Step 6: Final answer
    x = 178,636.89

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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.