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Finding the Third Proportional to 41,212 and 62,610

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Solution

The third proportional to 41,212 and 62,610 is: 95,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,212 : 62,610 = 62,610 : x
  2. Step 2: Convert to fraction form
    41,212/62,610 = 62,610/x
  3. Step 3: Cross multiply
    41,212x = 62,610 × 62,610
  4. Step 4: Simplify right side
    41,212x = 3,920,012,100
  5. Step 5: Solve for x
    x = 3,920,012,100/41,212
  6. Step 6: Final answer
    x = 95,118.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.