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Finding the Third Proportional to 29,244 and 39,978

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Solution

The third proportional to 29,244 and 39,978 is: 54,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244 : 39,978 = 39,978 : x
  2. Step 2: Convert to fraction form
    29,244/39,978 = 39,978/x
  3. Step 3: Cross multiply
    29,244x = 39,978 × 39,978
  4. Step 4: Simplify right side
    29,244x = 1,598,240,484
  5. Step 5: Solve for x
    x = 1,598,240,484/29,244
  6. Step 6: Final answer
    x = 54,651.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.