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Finding the Third Proportional to 11,781 and 27,265.50

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Solution

The third proportional to 11,781 and 27,265.50 is: 63,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 27,265.50 = 27,265.50 : x
  2. Step 2: Convert to fraction form
    11,781/27,265.50 = 27,265.50/x
  3. Step 3: Cross multiply
    11,781x = 27,265.50 × 27,265.50
  4. Step 4: Simplify right side
    11,781x = 743,407,490.25
  5. Step 5: Solve for x
    x = 743,407,490.25/11,781
  6. Step 6: Final answer
    x = 63,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.