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Finding the Third Proportional to 12,801.02 and 19,591.24

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Solution

The third proportional to 12,801.02 and 19,591.24 is: 29,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.02 : 19,591.24 = 19,591.24 : x
  2. Step 2: Convert to fraction form
    12,801.02/19,591.24 = 19,591.24/x
  3. Step 3: Cross multiply
    12,801.02x = 19,591.24 × 19,591.24
  4. Step 4: Simplify right side
    12,801.02x = 383,816,770.45
  5. Step 5: Solve for x
    x = 383,816,770.45/12,801.02
  6. Step 6: Final answer
    x = 29,983.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.