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Finding the Third Proportional to 41,800 and 62,518

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Solution

The third proportional to 41,800 and 62,518 is: 93,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 62,518 = 62,518 : x
  2. Step 2: Convert to fraction form
    41,800/62,518 = 62,518/x
  3. Step 3: Cross multiply
    41,800x = 62,518 × 62,518
  4. Step 4: Simplify right side
    41,800x = 3,908,500,324
  5. Step 5: Solve for x
    x = 3,908,500,324/41,800
  6. Step 6: Final answer
    x = 93,504.79

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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.