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Finding the Third Proportional to 11,847.75 and 17,801.63

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Solution

The third proportional to 11,847.75 and 17,801.63 is: 26,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.75 : 17,801.63 = 17,801.63 : x
  2. Step 2: Convert to fraction form
    11,847.75/17,801.63 = 17,801.63/x
  3. Step 3: Cross multiply
    11,847.75x = 17,801.63 × 17,801.63
  4. Step 4: Simplify right side
    11,847.75x = 316,897,852.64
  5. Step 5: Solve for x
    x = 316,897,852.64/11,847.75
  6. Step 6: Final answer
    x = 26,747.51

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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.