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Finding the Third Proportional to 14,676 and 31,728

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Solution

The third proportional to 14,676 and 31,728 is: 68,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676 : 31,728 = 31,728 : x
  2. Step 2: Convert to fraction form
    14,676/31,728 = 31,728/x
  3. Step 3: Cross multiply
    14,676x = 31,728 × 31,728
  4. Step 4: Simplify right side
    14,676x = 1,006,665,984
  5. Step 5: Solve for x
    x = 1,006,665,984/14,676
  6. Step 6: Final answer
    x = 68,592.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.