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Finding the Third Proportional to 5,209.31 and 10,600.88

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Solution

The third proportional to 5,209.31 and 10,600.88 is: 21,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.31 : 10,600.88 = 10,600.88 : x
  2. Step 2: Convert to fraction form
    5,209.31/10,600.88 = 10,600.88/x
  3. Step 3: Cross multiply
    5,209.31x = 10,600.88 × 10,600.88
  4. Step 4: Simplify right side
    5,209.31x = 112,378,550.77
  5. Step 5: Solve for x
    x = 112,378,550.77/5,209.31
  6. Step 6: Final answer
    x = 21,572.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.