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Finding the Third Proportional to 31,366.50 and 43,965

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Solution

The third proportional to 31,366.50 and 43,965 is: 61,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,366.50 : 43,965 = 43,965 : x
  2. Step 2: Convert to fraction form
    31,366.50/43,965 = 43,965/x
  3. Step 3: Cross multiply
    31,366.50x = 43,965 × 43,965
  4. Step 4: Simplify right side
    31,366.50x = 1,932,921,225
  5. Step 5: Solve for x
    x = 1,932,921,225/31,366.50
  6. Step 6: Final answer
    x = 61,623.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.