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Finding the Third Proportional to 29,805 and 41,769

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Solution

The third proportional to 29,805 and 41,769 is: 58,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,805 : 41,769 = 41,769 : x
  2. Step 2: Convert to fraction form
    29,805/41,769 = 41,769/x
  3. Step 3: Cross multiply
    29,805x = 41,769 × 41,769
  4. Step 4: Simplify right side
    29,805x = 1,744,649,361
  5. Step 5: Solve for x
    x = 1,744,649,361/29,805
  6. Step 6: Final answer
    x = 58,535.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.