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Finding the Third Proportional to 18,006.50 and 23,894

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Solution

The third proportional to 18,006.50 and 23,894 is: 31,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006.50 : 23,894 = 23,894 : x
  2. Step 2: Convert to fraction form
    18,006.50/23,894 = 23,894/x
  3. Step 3: Cross multiply
    18,006.50x = 23,894 × 23,894
  4. Step 4: Simplify right side
    18,006.50x = 570,923,236
  5. Step 5: Solve for x
    x = 570,923,236/18,006.50
  6. Step 6: Final answer
    x = 31,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.