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Finding the Third Proportional to 29,956.50 and 65,589.75

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Solution

The third proportional to 29,956.50 and 65,589.75 is: 143,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.50 : 65,589.75 = 65,589.75 : x
  2. Step 2: Convert to fraction form
    29,956.50/65,589.75 = 65,589.75/x
  3. Step 3: Cross multiply
    29,956.50x = 65,589.75 × 65,589.75
  4. Step 4: Simplify right side
    29,956.50x = 4,302,015,305.06
  5. Step 5: Solve for x
    x = 4,302,015,305.06/29,956.50
  6. Step 6: Final answer
    x = 143,608.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.