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Finding the Third Proportional to 14,081.50 and 29,956

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Solution

The third proportional to 14,081.50 and 29,956 is: 63,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.50 : 29,956 = 29,956 : x
  2. Step 2: Convert to fraction form
    14,081.50/29,956 = 29,956/x
  3. Step 3: Cross multiply
    14,081.50x = 29,956 × 29,956
  4. Step 4: Simplify right side
    14,081.50x = 897,361,936
  5. Step 5: Solve for x
    x = 897,361,936/14,081.50
  6. Step 6: Final answer
    x = 63,726.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.