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Finding the Third Proportional to 11,866.50 and 25,791.75

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Solution

The third proportional to 11,866.50 and 25,791.75 is: 56,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.50 : 25,791.75 = 25,791.75 : x
  2. Step 2: Convert to fraction form
    11,866.50/25,791.75 = 25,791.75/x
  3. Step 3: Cross multiply
    11,866.50x = 25,791.75 × 25,791.75
  4. Step 4: Simplify right side
    11,866.50x = 665,214,368.06
  5. Step 5: Solve for x
    x = 665,214,368.06/11,866.50
  6. Step 6: Final answer
    x = 56,058.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.