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Finding the Third Proportional to 13,801.50 and 29,789.25

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Solution

The third proportional to 13,801.50 and 29,789.25 is: 64,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.50 : 29,789.25 = 29,789.25 : x
  2. Step 2: Convert to fraction form
    13,801.50/29,789.25 = 29,789.25/x
  3. Step 3: Cross multiply
    13,801.50x = 29,789.25 × 29,789.25
  4. Step 4: Simplify right side
    13,801.50x = 887,399,415.56
  5. Step 5: Solve for x
    x = 887,399,415.56/13,801.50
  6. Step 6: Final answer
    x = 64,297.32

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