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Finding the Third Proportional to 6,709.88 and 14,747.25

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Solution

The third proportional to 6,709.88 and 14,747.25 is: 32,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.88 : 14,747.25 = 14,747.25 : x
  2. Step 2: Convert to fraction form
    6,709.88/14,747.25 = 14,747.25/x
  3. Step 3: Cross multiply
    6,709.88x = 14,747.25 × 14,747.25
  4. Step 4: Simplify right side
    6,709.88x = 217,481,382.56
  5. Step 5: Solve for x
    x = 217,481,382.56/6,709.88
  6. Step 6: Final answer
    x = 32,412.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.