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Finding the Third Proportional to 10,149.05 and 22,137.68

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Solution

The third proportional to 10,149.05 and 22,137.68 is: 48,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.05 : 22,137.68 = 22,137.68 : x
  2. Step 2: Convert to fraction form
    10,149.05/22,137.68 = 22,137.68/x
  3. Step 3: Cross multiply
    10,149.05x = 22,137.68 × 22,137.68
  4. Step 4: Simplify right side
    10,149.05x = 490,076,861.95
  5. Step 5: Solve for x
    x = 490,076,861.95/10,149.05
  6. Step 6: Final answer
    x = 48,287.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.