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Finding the Third Proportional to 6,201.56 and 9,930.09

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Solution

The third proportional to 6,201.56 and 9,930.09 is: 15,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.56 : 9,930.09 = 9,930.09 : x
  2. Step 2: Convert to fraction form
    6,201.56/9,930.09 = 9,930.09/x
  3. Step 3: Cross multiply
    6,201.56x = 9,930.09 × 9,930.09
  4. Step 4: Simplify right side
    6,201.56x = 98,606,761.88
  5. Step 5: Solve for x
    x = 98,606,761.88/6,201.56
  6. Step 6: Final answer
    x = 15,900.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.