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Finding the Third Proportional to 5,939.44 and 12,756.31

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Solution

The third proportional to 5,939.44 and 12,756.31 is: 27,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.44 : 12,756.31 = 12,756.31 : x
  2. Step 2: Convert to fraction form
    5,939.44/12,756.31 = 12,756.31/x
  3. Step 3: Cross multiply
    5,939.44x = 12,756.31 × 12,756.31
  4. Step 4: Simplify right side
    5,939.44x = 162,723,508.60
  5. Step 5: Solve for x
    x = 162,723,508.60/5,939.44
  6. Step 6: Final answer
    x = 27,397.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.