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Finding the Third Proportional to 1,645.31 and 3,057.75

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Solution

The third proportional to 1,645.31 and 3,057.75 is: 5,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.31 : 3,057.75 = 3,057.75 : x
  2. Step 2: Convert to fraction form
    1,645.31/3,057.75 = 3,057.75/x
  3. Step 3: Cross multiply
    1,645.31x = 3,057.75 × 3,057.75
  4. Step 4: Simplify right side
    1,645.31x = 9,349,835.06
  5. Step 5: Solve for x
    x = 9,349,835.06/1,645.31
  6. Step 6: Final answer
    x = 5,682.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.