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Finding the Third Proportional to 43,686 and 65,373

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Solution

The third proportional to 43,686 and 65,373 is: 97,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686 : 65,373 = 65,373 : x
  2. Step 2: Convert to fraction form
    43,686/65,373 = 65,373/x
  3. Step 3: Cross multiply
    43,686x = 65,373 × 65,373
  4. Step 4: Simplify right side
    43,686x = 4,273,629,129
  5. Step 5: Solve for x
    x = 4,273,629,129/43,686
  6. Step 6: Final answer
    x = 97,826.06

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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.