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Finding the Third Proportional to 14,376 and 30,912

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Solution

The third proportional to 14,376 and 30,912 is: 66,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 30,912 = 30,912 : x
  2. Step 2: Convert to fraction form
    14,376/30,912 = 30,912/x
  3. Step 3: Cross multiply
    14,376x = 30,912 × 30,912
  4. Step 4: Simplify right side
    14,376x = 955,551,744
  5. Step 5: Solve for x
    x = 955,551,744/14,376
  6. Step 6: Final answer
    x = 66,468.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.