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Finding the Third Proportional to 29,674 and 44,635

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Solution

The third proportional to 29,674 and 44,635 is: 67,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674 : 44,635 = 44,635 : x
  2. Step 2: Convert to fraction form
    29,674/44,635 = 44,635/x
  3. Step 3: Cross multiply
    29,674x = 44,635 × 44,635
  4. Step 4: Simplify right side
    29,674x = 1,992,283,225
  5. Step 5: Solve for x
    x = 1,992,283,225/29,674
  6. Step 6: Final answer
    x = 67,139.02

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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.