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Finding the Third Proportional to 29,568 and 44,659.88

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Solution

The third proportional to 29,568 and 44,659.88 is: 67,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568 : 44,659.88 = 44,659.88 : x
  2. Step 2: Convert to fraction form
    29,568/44,659.88 = 44,659.88/x
  3. Step 3: Cross multiply
    29,568x = 44,659.88 × 44,659.88
  4. Step 4: Simplify right side
    29,568x = 1,994,504,435.02
  5. Step 5: Solve for x
    x = 1,994,504,435.02/29,568
  6. Step 6: Final answer
    x = 67,454.83

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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.