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Finding the Third Proportional to 6,543.28 and 14,137.03

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Solution

The third proportional to 6,543.28 and 14,137.03 is: 30,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.28 : 14,137.03 = 14,137.03 : x
  2. Step 2: Convert to fraction form
    6,543.28/14,137.03 = 14,137.03/x
  3. Step 3: Cross multiply
    6,543.28x = 14,137.03 × 14,137.03
  4. Step 4: Simplify right side
    6,543.28x = 199,855,652.56
  5. Step 5: Solve for x
    x = 199,855,652.56/6,543.28
  6. Step 6: Final answer
    x = 30,543.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.