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Finding the Third Proportional to 4,996 and 11,710

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Solution

The third proportional to 4,996 and 11,710 is: 27,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996 : 11,710 = 11,710 : x
  2. Step 2: Convert to fraction form
    4,996/11,710 = 11,710/x
  3. Step 3: Cross multiply
    4,996x = 11,710 × 11,710
  4. Step 4: Simplify right side
    4,996x = 137,124,100
  5. Step 5: Solve for x
    x = 137,124,100/4,996
  6. Step 6: Final answer
    x = 27,446.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.