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Finding the Third Proportional to 8,244.38 and 18,334.50

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Solution

The third proportional to 8,244.38 and 18,334.50 is: 40,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.38 : 18,334.50 = 18,334.50 : x
  2. Step 2: Convert to fraction form
    8,244.38/18,334.50 = 18,334.50/x
  3. Step 3: Cross multiply
    8,244.38x = 18,334.50 × 18,334.50
  4. Step 4: Simplify right side
    8,244.38x = 336,153,890.25
  5. Step 5: Solve for x
    x = 336,153,890.25/8,244.38
  6. Step 6: Final answer
    x = 40,773.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.