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Finding the Third Proportional to 41,015 and 61,932

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Solution

The third proportional to 41,015 and 61,932 is: 93,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,015 : 61,932 = 61,932 : x
  2. Step 2: Convert to fraction form
    41,015/61,932 = 61,932/x
  3. Step 3: Cross multiply
    41,015x = 61,932 × 61,932
  4. Step 4: Simplify right side
    41,015x = 3,835,572,624
  5. Step 5: Solve for x
    x = 3,835,572,624/41,015
  6. Step 6: Final answer
    x = 93,516.34

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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.