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Finding the Third Proportional to 29,194 and 41,313

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Solution

The third proportional to 29,194 and 41,313 is: 58,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 41,313 = 41,313 : x
  2. Step 2: Convert to fraction form
    29,194/41,313 = 41,313/x
  3. Step 3: Cross multiply
    29,194x = 41,313 × 41,313
  4. Step 4: Simplify right side
    29,194x = 1,706,763,969
  5. Step 5: Solve for x
    x = 1,706,763,969/29,194
  6. Step 6: Final answer
    x = 58,462.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.