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Finding the Third Proportional to 29,214 and 41,126

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Solution

The third proportional to 29,214 and 41,126 is: 57,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 41,126 = 41,126 : x
  2. Step 2: Convert to fraction form
    29,214/41,126 = 41,126/x
  3. Step 3: Cross multiply
    29,214x = 41,126 × 41,126
  4. Step 4: Simplify right side
    29,214x = 1,691,347,876
  5. Step 5: Solve for x
    x = 1,691,347,876/29,214
  6. Step 6: Final answer
    x = 57,895.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.