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Finding the Third Proportional to 11,710 and 27,641

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Solution

The third proportional to 11,710 and 27,641 is: 65,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710 : 27,641 = 27,641 : x
  2. Step 2: Convert to fraction form
    11,710/27,641 = 27,641/x
  3. Step 3: Cross multiply
    11,710x = 27,641 × 27,641
  4. Step 4: Simplify right side
    11,710x = 764,024,881
  5. Step 5: Solve for x
    x = 764,024,881/11,710
  6. Step 6: Final answer
    x = 65,245.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.