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Finding the Third Proportional to 14,002 and 30,764

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Solution

The third proportional to 14,002 and 30,764 is: 67,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 30,764 = 30,764 : x
  2. Step 2: Convert to fraction form
    14,002/30,764 = 30,764/x
  3. Step 3: Cross multiply
    14,002x = 30,764 × 30,764
  4. Step 4: Simplify right side
    14,002x = 946,423,696
  5. Step 5: Solve for x
    x = 946,423,696/14,002
  6. Step 6: Final answer
    x = 67,592.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.