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Finding the Third Proportional to 5,663.25 and 12,195.56

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Solution

The third proportional to 5,663.25 and 12,195.56 is: 26,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.25 : 12,195.56 = 12,195.56 : x
  2. Step 2: Convert to fraction form
    5,663.25/12,195.56 = 12,195.56/x
  3. Step 3: Cross multiply
    5,663.25x = 12,195.56 × 12,195.56
  4. Step 4: Simplify right side
    5,663.25x = 148,731,744.69
  5. Step 5: Solve for x
    x = 148,731,744.69/5,663.25
  6. Step 6: Final answer
    x = 26,262.61

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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.