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Finding the Third Proportional to 7,728 and 13,872

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Solution

The third proportional to 7,728 and 13,872 is: 24,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 13,872 = 13,872 : x
  2. Step 2: Convert to fraction form
    7,728/13,872 = 13,872/x
  3. Step 3: Cross multiply
    7,728x = 13,872 × 13,872
  4. Step 4: Simplify right side
    7,728x = 192,432,384
  5. Step 5: Solve for x
    x = 192,432,384/7,728
  6. Step 6: Final answer
    x = 24,900.67

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.