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Finding the Third Proportional to 19,633.50 and 40,306.50

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Solution

The third proportional to 19,633.50 and 40,306.50 is: 82,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.50 : 40,306.50 = 40,306.50 : x
  2. Step 2: Convert to fraction form
    19,633.50/40,306.50 = 40,306.50/x
  3. Step 3: Cross multiply
    19,633.50x = 40,306.50 × 40,306.50
  4. Step 4: Simplify right side
    19,633.50x = 1,624,613,942.25
  5. Step 5: Solve for x
    x = 1,624,613,942.25/19,633.50
  6. Step 6: Final answer
    x = 82,747.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.