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Finding the Third Proportional to 1,876.29 and 2,667.30

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Solution

The third proportional to 1,876.29 and 2,667.30 is: 3,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.29 : 2,667.30 = 2,667.30 : x
  2. Step 2: Convert to fraction form
    1,876.29/2,667.30 = 2,667.30/x
  3. Step 3: Cross multiply
    1,876.29x = 2,667.30 × 2,667.30
  4. Step 4: Simplify right side
    1,876.29x = 7,114,514.30
  5. Step 5: Solve for x
    x = 7,114,514.30/1,876.29
  6. Step 6: Final answer
    x = 3,791.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.