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Finding the Third Proportional to 41,161 and 62,317.50

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Solution

The third proportional to 41,161 and 62,317.50 is: 94,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,161 : 62,317.50 = 62,317.50 : x
  2. Step 2: Convert to fraction form
    41,161/62,317.50 = 62,317.50/x
  3. Step 3: Cross multiply
    41,161x = 62,317.50 × 62,317.50
  4. Step 4: Simplify right side
    41,161x = 3,883,470,806.25
  5. Step 5: Solve for x
    x = 3,883,470,806.25/41,161
  6. Step 6: Final answer
    x = 94,348.31

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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.