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Finding the Third Proportional to 5,461.20 and 11,944.52

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Solution

The third proportional to 5,461.20 and 11,944.52 is: 26,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.20 : 11,944.52 = 11,944.52 : x
  2. Step 2: Convert to fraction form
    5,461.20/11,944.52 = 11,944.52/x
  3. Step 3: Cross multiply
    5,461.20x = 11,944.52 × 11,944.52
  4. Step 4: Simplify right side
    5,461.20x = 142,671,640.15
  5. Step 5: Solve for x
    x = 142,671,640.15/5,461.20
  6. Step 6: Final answer
    x = 26,124.62

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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.