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Finding the Third Proportional to 28,674 and 69,738

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Solution

The third proportional to 28,674 and 69,738 is: 169,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 69,738 = 69,738 : x
  2. Step 2: Convert to fraction form
    28,674/69,738 = 69,738/x
  3. Step 3: Cross multiply
    28,674x = 69,738 × 69,738
  4. Step 4: Simplify right side
    28,674x = 4,863,388,644
  5. Step 5: Solve for x
    x = 4,863,388,644/28,674
  6. Step 6: Final answer
    x = 169,609.70

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.