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Finding the Third Proportional to 14,029 and 30,825.50

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Solution

The third proportional to 14,029 and 30,825.50 is: 67,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029 : 30,825.50 = 30,825.50 : x
  2. Step 2: Convert to fraction form
    14,029/30,825.50 = 30,825.50/x
  3. Step 3: Cross multiply
    14,029x = 30,825.50 × 30,825.50
  4. Step 4: Simplify right side
    14,029x = 950,211,450.25
  5. Step 5: Solve for x
    x = 950,211,450.25/14,029
  6. Step 6: Final answer
    x = 67,731.94

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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.