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Finding the Third Proportional to 41,038 and 62,793

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Solution

The third proportional to 41,038 and 62,793 is: 96,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,038 : 62,793 = 62,793 : x
  2. Step 2: Convert to fraction form
    41,038/62,793 = 62,793/x
  3. Step 3: Cross multiply
    41,038x = 62,793 × 62,793
  4. Step 4: Simplify right side
    41,038x = 3,942,960,849
  5. Step 5: Solve for x
    x = 3,942,960,849/41,038
  6. Step 6: Final answer
    x = 96,080.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.