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Finding the Third Proportional to 4,923 and 11,476.50

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Solution

The third proportional to 4,923 and 11,476.50 is: 26,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 11,476.50 = 11,476.50 : x
  2. Step 2: Convert to fraction form
    4,923/11,476.50 = 11,476.50/x
  3. Step 3: Cross multiply
    4,923x = 11,476.50 × 11,476.50
  4. Step 4: Simplify right side
    4,923x = 131,710,052.25
  5. Step 5: Solve for x
    x = 131,710,052.25/4,923
  6. Step 6: Final answer
    x = 26,754.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.