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Finding the Third Proportional to 2,593.69 and 2,796.19

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Solution

The third proportional to 2,593.69 and 2,796.19 is: 3,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.69 : 2,796.19 = 2,796.19 : x
  2. Step 2: Convert to fraction form
    2,593.69/2,796.19 = 2,796.19/x
  3. Step 3: Cross multiply
    2,593.69x = 2,796.19 × 2,796.19
  4. Step 4: Simplify right side
    2,593.69x = 7,818,664.54
  5. Step 5: Solve for x
    x = 7,818,664.54/2,593.69
  6. Step 6: Final answer
    x = 3,014.50

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.