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Finding the Third Proportional to 11,660 and 24,966

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Solution

The third proportional to 11,660 and 24,966 is: 53,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 24,966 = 24,966 : x
  2. Step 2: Convert to fraction form
    11,660/24,966 = 24,966/x
  3. Step 3: Cross multiply
    11,660x = 24,966 × 24,966
  4. Step 4: Simplify right side
    11,660x = 623,301,156
  5. Step 5: Solve for x
    x = 623,301,156/11,660
  6. Step 6: Final answer
    x = 53,456.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.