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Finding the Third Proportional to 6,903.56 and 14,628.09

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Solution

The third proportional to 6,903.56 and 14,628.09 is: 30,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.56 : 14,628.09 = 14,628.09 : x
  2. Step 2: Convert to fraction form
    6,903.56/14,628.09 = 14,628.09/x
  3. Step 3: Cross multiply
    6,903.56x = 14,628.09 × 14,628.09
  4. Step 4: Simplify right side
    6,903.56x = 213,981,126.76
  5. Step 5: Solve for x
    x = 213,981,126.76/6,903.56
  6. Step 6: Final answer
    x = 30,995.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.