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Finding the Third Proportional to 27,329 and 40,994

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Solution

The third proportional to 27,329 and 40,994 is: 61,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,329 : 40,994 = 40,994 : x
  2. Step 2: Convert to fraction form
    27,329/40,994 = 40,994/x
  3. Step 3: Cross multiply
    27,329x = 40,994 × 40,994
  4. Step 4: Simplify right side
    27,329x = 1,680,508,036
  5. Step 5: Solve for x
    x = 1,680,508,036/27,329
  6. Step 6: Final answer
    x = 61,491.75

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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.