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Finding the Third Proportional to 41,558 and 62,835

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Solution

The third proportional to 41,558 and 62,835 is: 95,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,558 : 62,835 = 62,835 : x
  2. Step 2: Convert to fraction form
    41,558/62,835 = 62,835/x
  3. Step 3: Cross multiply
    41,558x = 62,835 × 62,835
  4. Step 4: Simplify right side
    41,558x = 3,948,237,225
  5. Step 5: Solve for x
    x = 3,948,237,225/41,558
  6. Step 6: Final answer
    x = 95,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.