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Finding the Third Proportional to 43,679.50 and 65,451

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Solution

The third proportional to 43,679.50 and 65,451 is: 98,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,679.50 : 65,451 = 65,451 : x
  2. Step 2: Convert to fraction form
    43,679.50/65,451 = 65,451/x
  3. Step 3: Cross multiply
    43,679.50x = 65,451 × 65,451
  4. Step 4: Simplify right side
    43,679.50x = 4,283,833,401
  5. Step 5: Solve for x
    x = 4,283,833,401/43,679.50
  6. Step 6: Final answer
    x = 98,074.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.