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Finding the Third Proportional to 11,847.94 and 17,801.44

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Solution

The third proportional to 11,847.94 and 17,801.44 is: 26,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.94 : 17,801.44 = 17,801.44 : x
  2. Step 2: Convert to fraction form
    11,847.94/17,801.44 = 17,801.44/x
  3. Step 3: Cross multiply
    11,847.94x = 17,801.44 × 17,801.44
  4. Step 4: Simplify right side
    11,847.94x = 316,891,177.07
  5. Step 5: Solve for x
    x = 316,891,177.07/11,847.94
  6. Step 6: Final answer
    x = 26,746.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.