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Finding the Third Proportional to 4,908 and 11,496

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Solution

The third proportional to 4,908 and 11,496 is: 26,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908 : 11,496 = 11,496 : x
  2. Step 2: Convert to fraction form
    4,908/11,496 = 11,496/x
  3. Step 3: Cross multiply
    4,908x = 11,496 × 11,496
  4. Step 4: Simplify right side
    4,908x = 132,158,016
  5. Step 5: Solve for x
    x = 132,158,016/4,908
  6. Step 6: Final answer
    x = 26,927.06

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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.