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Finding the Third Proportional to 28,633 and 58,074

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Solution

The third proportional to 28,633 and 58,074 is: 117,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,633 : 58,074 = 58,074 : x
  2. Step 2: Convert to fraction form
    28,633/58,074 = 58,074/x
  3. Step 3: Cross multiply
    28,633x = 58,074 × 58,074
  4. Step 4: Simplify right side
    28,633x = 3,372,589,476
  5. Step 5: Solve for x
    x = 3,372,589,476/28,633
  6. Step 6: Final answer
    x = 117,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.