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Finding the Third Proportional to 13,927.50 and 29,796.75

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Solution

The third proportional to 13,927.50 and 29,796.75 is: 63,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.50 : 29,796.75 = 29,796.75 : x
  2. Step 2: Convert to fraction form
    13,927.50/29,796.75 = 29,796.75/x
  3. Step 3: Cross multiply
    13,927.50x = 29,796.75 × 29,796.75
  4. Step 4: Simplify right side
    13,927.50x = 887,846,310.56
  5. Step 5: Solve for x
    x = 887,846,310.56/13,927.50
  6. Step 6: Final answer
    x = 63,747.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.