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Finding the Third Proportional to 29,819 and 41,795

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Solution

The third proportional to 29,819 and 41,795 is: 58,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819 : 41,795 = 41,795 : x
  2. Step 2: Convert to fraction form
    29,819/41,795 = 41,795/x
  3. Step 3: Cross multiply
    29,819x = 41,795 × 41,795
  4. Step 4: Simplify right side
    29,819x = 1,746,822,025
  5. Step 5: Solve for x
    x = 1,746,822,025/29,819
  6. Step 6: Final answer
    x = 58,580.84

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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.