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Finding the Third Proportional to 28,634 and 58,077

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Solution

The third proportional to 28,634 and 58,077 is: 117,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634 : 58,077 = 58,077 : x
  2. Step 2: Convert to fraction form
    28,634/58,077 = 58,077/x
  3. Step 3: Cross multiply
    28,634x = 58,077 × 58,077
  4. Step 4: Simplify right side
    28,634x = 3,372,937,929
  5. Step 5: Solve for x
    x = 3,372,937,929/28,634
  6. Step 6: Final answer
    x = 117,794.86

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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.