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Finding the Third Proportional to 6,542.44 and 14,077.13

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Solution

The third proportional to 6,542.44 and 14,077.13 is: 30,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.44 : 14,077.13 = 14,077.13 : x
  2. Step 2: Convert to fraction form
    6,542.44/14,077.13 = 14,077.13/x
  3. Step 3: Cross multiply
    6,542.44x = 14,077.13 × 14,077.13
  4. Step 4: Simplify right side
    6,542.44x = 198,165,448.27
  5. Step 5: Solve for x
    x = 198,165,448.27/6,542.44
  6. Step 6: Final answer
    x = 30,289.24

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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.