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Finding the Third Proportional to 6,201.56 and 12,732.19

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Solution

The third proportional to 6,201.56 and 12,732.19 is: 26,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.56 : 12,732.19 = 12,732.19 : x
  2. Step 2: Convert to fraction form
    6,201.56/12,732.19 = 12,732.19/x
  3. Step 3: Cross multiply
    6,201.56x = 12,732.19 × 12,732.19
  4. Step 4: Simplify right side
    6,201.56x = 162,108,598.54
  5. Step 5: Solve for x
    x = 162,108,598.54/6,201.56
  6. Step 6: Final answer
    x = 26,139.96

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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.