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Finding the Third Proportional to 23,664 and 26,832

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Solution

The third proportional to 23,664 and 26,832 is: 30,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 26,832 = 26,832 : x
  2. Step 2: Convert to fraction form
    23,664/26,832 = 26,832/x
  3. Step 3: Cross multiply
    23,664x = 26,832 × 26,832
  4. Step 4: Simplify right side
    23,664x = 719,956,224
  5. Step 5: Solve for x
    x = 719,956,224/23,664
  6. Step 6: Final answer
    x = 30,424.11

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.