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Finding the Third Proportional to 41,835 and 62,845

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Solution

The third proportional to 41,835 and 62,845 is: 94,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835 : 62,845 = 62,845 : x
  2. Step 2: Convert to fraction form
    41,835/62,845 = 62,845/x
  3. Step 3: Cross multiply
    41,835x = 62,845 × 62,845
  4. Step 4: Simplify right side
    41,835x = 3,949,494,025
  5. Step 5: Solve for x
    x = 3,949,494,025/41,835
  6. Step 6: Final answer
    x = 94,406.45

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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.