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Finding the Third Proportional to 13,664 and 29,966

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Solution

The third proportional to 13,664 and 29,966 is: 65,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 29,966 = 29,966 : x
  2. Step 2: Convert to fraction form
    13,664/29,966 = 29,966/x
  3. Step 3: Cross multiply
    13,664x = 29,966 × 29,966
  4. Step 4: Simplify right side
    13,664x = 897,961,156
  5. Step 5: Solve for x
    x = 897,961,156/13,664
  6. Step 6: Final answer
    x = 65,717.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.