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Finding the Third Proportional to 29,121.75 and 44,223.75

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Solution

The third proportional to 29,121.75 and 44,223.75 is: 67,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121.75 : 44,223.75 = 44,223.75 : x
  2. Step 2: Convert to fraction form
    29,121.75/44,223.75 = 44,223.75/x
  3. Step 3: Cross multiply
    29,121.75x = 44,223.75 × 44,223.75
  4. Step 4: Simplify right side
    29,121.75x = 1,955,740,064.06
  5. Step 5: Solve for x
    x = 1,955,740,064.06/29,121.75
  6. Step 6: Final answer
    x = 67,157.37

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