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Finding the Third Proportional to 1,659.23 and 3,914.58

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Solution

The third proportional to 1,659.23 and 3,914.58 is: 9,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.23 : 3,914.58 = 3,914.58 : x
  2. Step 2: Convert to fraction form
    1,659.23/3,914.58 = 3,914.58/x
  3. Step 3: Cross multiply
    1,659.23x = 3,914.58 × 3,914.58
  4. Step 4: Simplify right side
    1,659.23x = 15,323,921.90
  5. Step 5: Solve for x
    x = 15,323,921.90/1,659.23
  6. Step 6: Final answer
    x = 9,235.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.