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Finding the Third Proportional to 3,834 and 9,056.25

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Solution

The third proportional to 3,834 and 9,056.25 is: 21,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 9,056.25 = 9,056.25 : x
  2. Step 2: Convert to fraction form
    3,834/9,056.25 = 9,056.25/x
  3. Step 3: Cross multiply
    3,834x = 9,056.25 × 9,056.25
  4. Step 4: Simplify right side
    3,834x = 82,015,664.06
  5. Step 5: Solve for x
    x = 82,015,664.06/3,834
  6. Step 6: Final answer
    x = 21,391.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.