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Finding the Third Proportional to 11,306 and 25,781

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Solution

The third proportional to 11,306 and 25,781 is: 58,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 25,781 = 25,781 : x
  2. Step 2: Convert to fraction form
    11,306/25,781 = 25,781/x
  3. Step 3: Cross multiply
    11,306x = 25,781 × 25,781
  4. Step 4: Simplify right side
    11,306x = 664,659,961
  5. Step 5: Solve for x
    x = 664,659,961/11,306
  6. Step 6: Final answer
    x = 58,788.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.