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Finding the Third Proportional to 2,594.06 and 5,628.56

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Solution

The third proportional to 2,594.06 and 5,628.56 is: 12,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.06 : 5,628.56 = 5,628.56 : x
  2. Step 2: Convert to fraction form
    2,594.06/5,628.56 = 5,628.56/x
  3. Step 3: Cross multiply
    2,594.06x = 5,628.56 × 5,628.56
  4. Step 4: Simplify right side
    2,594.06x = 31,680,715.82
  5. Step 5: Solve for x
    x = 31,680,715.82/2,594.06
  6. Step 6: Final answer
    x = 12,212.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.