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Finding the Third Proportional to 41,111 and 61,501

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Solution

The third proportional to 41,111 and 61,501 is: 92,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,111 : 61,501 = 61,501 : x
  2. Step 2: Convert to fraction form
    41,111/61,501 = 61,501/x
  3. Step 3: Cross multiply
    41,111x = 61,501 × 61,501
  4. Step 4: Simplify right side
    41,111x = 3,782,373,001
  5. Step 5: Solve for x
    x = 3,782,373,001/41,111
  6. Step 6: Final answer
    x = 92,003.92

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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.