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Finding the Third Proportional to 1,664.06 and 2,610.38

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Solution

The third proportional to 1,664.06 and 2,610.38 is: 4,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.06 : 2,610.38 = 2,610.38 : x
  2. Step 2: Convert to fraction form
    1,664.06/2,610.38 = 2,610.38/x
  3. Step 3: Cross multiply
    1,664.06x = 2,610.38 × 2,610.38
  4. Step 4: Simplify right side
    1,664.06x = 6,814,057.64
  5. Step 5: Solve for x
    x = 6,814,057.64/1,664.06
  6. Step 6: Final answer
    x = 4,094.83

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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.