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Finding the Third Proportional to 3,823 and 8,840

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Solution

The third proportional to 3,823 and 8,840 is: 20,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 8,840 = 8,840 : x
  2. Step 2: Convert to fraction form
    3,823/8,840 = 8,840/x
  3. Step 3: Cross multiply
    3,823x = 8,840 × 8,840
  4. Step 4: Simplify right side
    3,823x = 78,145,600
  5. Step 5: Solve for x
    x = 78,145,600/3,823
  6. Step 6: Final answer
    x = 20,440.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.