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Finding the Third Proportional to 5,134.36 and 10,511.58

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Solution

The third proportional to 5,134.36 and 10,511.58 is: 21,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.36 : 10,511.58 = 10,511.58 : x
  2. Step 2: Convert to fraction form
    5,134.36/10,511.58 = 10,511.58/x
  3. Step 3: Cross multiply
    5,134.36x = 10,511.58 × 10,511.58
  4. Step 4: Simplify right side
    5,134.36x = 110,493,274.68
  5. Step 5: Solve for x
    x = 110,493,274.68/5,134.36
  6. Step 6: Final answer
    x = 21,520.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.