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Finding the Third Proportional to 41,610 and 62,947

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Solution

The third proportional to 41,610 and 62,947 is: 95,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,610 : 62,947 = 62,947 : x
  2. Step 2: Convert to fraction form
    41,610/62,947 = 62,947/x
  3. Step 3: Cross multiply
    41,610x = 62,947 × 62,947
  4. Step 4: Simplify right side
    41,610x = 3,962,324,809
  5. Step 5: Solve for x
    x = 3,962,324,809/41,610
  6. Step 6: Final answer
    x = 95,225.30

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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.