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Finding the Third Proportional to 46,593 and 62,077

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Solution

The third proportional to 46,593 and 62,077 is: 82,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,593 : 62,077 = 62,077 : x
  2. Step 2: Convert to fraction form
    46,593/62,077 = 62,077/x
  3. Step 3: Cross multiply
    46,593x = 62,077 × 62,077
  4. Step 4: Simplify right side
    46,593x = 3,853,553,929
  5. Step 5: Solve for x
    x = 3,853,553,929/46,593
  6. Step 6: Final answer
    x = 82,706.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.