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Finding the Third Proportional to 46,500 and 67,589

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Solution

The third proportional to 46,500 and 67,589 is: 98,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500 : 67,589 = 67,589 : x
  2. Step 2: Convert to fraction form
    46,500/67,589 = 67,589/x
  3. Step 3: Cross multiply
    46,500x = 67,589 × 67,589
  4. Step 4: Simplify right side
    46,500x = 4,568,272,921
  5. Step 5: Solve for x
    x = 4,568,272,921/46,500
  6. Step 6: Final answer
    x = 98,242.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.