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Finding the Third Proportional to 34,736 and 74,872

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Solution

The third proportional to 34,736 and 74,872 is: 161,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736 : 74,872 = 74,872 : x
  2. Step 2: Convert to fraction form
    34,736/74,872 = 74,872/x
  3. Step 3: Cross multiply
    34,736x = 74,872 × 74,872
  4. Step 4: Simplify right side
    34,736x = 5,605,816,384
  5. Step 5: Solve for x
    x = 5,605,816,384/34,736
  6. Step 6: Final answer
    x = 161,383.47

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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.