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Finding the Third Proportional to 11,646 and 24,606

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Solution

The third proportional to 11,646 and 24,606 is: 51,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 24,606 = 24,606 : x
  2. Step 2: Convert to fraction form
    11,646/24,606 = 24,606/x
  3. Step 3: Cross multiply
    11,646x = 24,606 × 24,606
  4. Step 4: Simplify right side
    11,646x = 605,455,236
  5. Step 5: Solve for x
    x = 605,455,236/11,646
  6. Step 6: Final answer
    x = 51,988.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.