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Finding the Third Proportional to 43,612 and 65,471

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Solution

The third proportional to 43,612 and 65,471 is: 98,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,612 : 65,471 = 65,471 : x
  2. Step 2: Convert to fraction form
    43,612/65,471 = 65,471/x
  3. Step 3: Cross multiply
    43,612x = 65,471 × 65,471
  4. Step 4: Simplify right side
    43,612x = 4,286,451,841
  5. Step 5: Solve for x
    x = 4,286,451,841/43,612
  6. Step 6: Final answer
    x = 98,286.06

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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.