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Finding the Third Proportional to 41,220 and 62,010

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Solution

The third proportional to 41,220 and 62,010 is: 93,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,220 : 62,010 = 62,010 : x
  2. Step 2: Convert to fraction form
    41,220/62,010 = 62,010/x
  3. Step 3: Cross multiply
    41,220x = 62,010 × 62,010
  4. Step 4: Simplify right side
    41,220x = 3,845,240,100
  5. Step 5: Solve for x
    x = 3,845,240,100/41,220
  6. Step 6: Final answer
    x = 93,285.79

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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.