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Finding the Third Proportional to 29,544 and 44,505

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Solution

The third proportional to 29,544 and 44,505 is: 67,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 44,505 = 44,505 : x
  2. Step 2: Convert to fraction form
    29,544/44,505 = 44,505/x
  3. Step 3: Cross multiply
    29,544x = 44,505 × 44,505
  4. Step 4: Simplify right side
    29,544x = 1,980,695,025
  5. Step 5: Solve for x
    x = 1,980,695,025/29,544
  6. Step 6: Final answer
    x = 67,042.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.