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Finding the Third Proportional to 9,234.50 and 20,264

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Solution

The third proportional to 9,234.50 and 20,264 is: 44,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.50 : 20,264 = 20,264 : x
  2. Step 2: Convert to fraction form
    9,234.50/20,264 = 20,264/x
  3. Step 3: Cross multiply
    9,234.50x = 20,264 × 20,264
  4. Step 4: Simplify right side
    9,234.50x = 410,629,696
  5. Step 5: Solve for x
    x = 410,629,696/9,234.50
  6. Step 6: Final answer
    x = 44,466.91

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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.