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Finding the Third Proportional to 31,450.50 and 44,715.75

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Solution

The third proportional to 31,450.50 and 44,715.75 is: 63,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.50 : 44,715.75 = 44,715.75 : x
  2. Step 2: Convert to fraction form
    31,450.50/44,715.75 = 44,715.75/x
  3. Step 3: Cross multiply
    31,450.50x = 44,715.75 × 44,715.75
  4. Step 4: Simplify right side
    31,450.50x = 1,999,498,298.06
  5. Step 5: Solve for x
    x = 1,999,498,298.06/31,450.50
  6. Step 6: Final answer
    x = 63,576.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.