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Finding the Third Proportional to 46,591 and 62,073

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Solution

The third proportional to 46,591 and 62,073 is: 82,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,591 : 62,073 = 62,073 : x
  2. Step 2: Convert to fraction form
    46,591/62,073 = 62,073/x
  3. Step 3: Cross multiply
    46,591x = 62,073 × 62,073
  4. Step 4: Simplify right side
    46,591x = 3,853,057,329
  5. Step 5: Solve for x
    x = 3,853,057,329/46,591
  6. Step 6: Final answer
    x = 82,699.61

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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.