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Finding the Third Proportional to 41,634 and 91,032

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Solution

The third proportional to 41,634 and 91,032 is: 199,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634 : 91,032 = 91,032 : x
  2. Step 2: Convert to fraction form
    41,634/91,032 = 91,032/x
  3. Step 3: Cross multiply
    41,634x = 91,032 × 91,032
  4. Step 4: Simplify right side
    41,634x = 8,286,825,024
  5. Step 5: Solve for x
    x = 8,286,825,024/41,634
  6. Step 6: Final answer
    x = 199,039.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.