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Finding the Third Proportional to 1,664.44 and 2,610.84

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Solution

The third proportional to 1,664.44 and 2,610.84 is: 4,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.44 : 2,610.84 = 2,610.84 : x
  2. Step 2: Convert to fraction form
    1,664.44/2,610.84 = 2,610.84/x
  3. Step 3: Cross multiply
    1,664.44x = 2,610.84 × 2,610.84
  4. Step 4: Simplify right side
    1,664.44x = 6,816,505.09
  5. Step 5: Solve for x
    x = 6,816,505.09/1,664.44
  6. Step 6: Final answer
    x = 4,095.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.