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Finding the Third Proportional to 28,900 and 59,738

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Solution

The third proportional to 28,900 and 59,738 is: 123,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,900 : 59,738 = 59,738 : x
  2. Step 2: Convert to fraction form
    28,900/59,738 = 59,738/x
  3. Step 3: Cross multiply
    28,900x = 59,738 × 59,738
  4. Step 4: Simplify right side
    28,900x = 3,568,628,644
  5. Step 5: Solve for x
    x = 3,568,628,644/28,900
  6. Step 6: Final answer
    x = 123,481.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.