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Finding the Third Proportional to 29,024 and 44,031

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Solution

The third proportional to 29,024 and 44,031 is: 66,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024 : 44,031 = 44,031 : x
  2. Step 2: Convert to fraction form
    29,024/44,031 = 44,031/x
  3. Step 3: Cross multiply
    29,024x = 44,031 × 44,031
  4. Step 4: Simplify right side
    29,024x = 1,938,728,961
  5. Step 5: Solve for x
    x = 1,938,728,961/29,024
  6. Step 6: Final answer
    x = 66,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.