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Finding the Third Proportional to 41,737 and 91,433

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Solution

The third proportional to 41,737 and 91,433 is: 200,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737 : 91,433 = 91,433 : x
  2. Step 2: Convert to fraction form
    41,737/91,433 = 91,433/x
  3. Step 3: Cross multiply
    41,737x = 91,433 × 91,433
  4. Step 4: Simplify right side
    41,737x = 8,359,993,489
  5. Step 5: Solve for x
    x = 8,359,993,489/41,737
  6. Step 6: Final answer
    x = 200,301.73

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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.