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Finding the Third Proportional to 1,667.39 and 2,505.52

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Solution

The third proportional to 1,667.39 and 2,505.52 is: 3,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.39 : 2,505.52 = 2,505.52 : x
  2. Step 2: Convert to fraction form
    1,667.39/2,505.52 = 2,505.52/x
  3. Step 3: Cross multiply
    1,667.39x = 2,505.52 × 2,505.52
  4. Step 4: Simplify right side
    1,667.39x = 6,277,608.55
  5. Step 5: Solve for x
    x = 6,277,608.55/1,667.39
  6. Step 6: Final answer
    x = 3,764.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.