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Finding the Third Proportional to 29,380 and 44,016

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Solution

The third proportional to 29,380 and 44,016 is: 65,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380 : 44,016 = 44,016 : x
  2. Step 2: Convert to fraction form
    29,380/44,016 = 44,016/x
  3. Step 3: Cross multiply
    29,380x = 44,016 × 44,016
  4. Step 4: Simplify right side
    29,380x = 1,937,408,256
  5. Step 5: Solve for x
    x = 1,937,408,256/29,380
  6. Step 6: Final answer
    x = 65,943.10

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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.