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Finding the Third Proportional to 11,327 and 17,495.50

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Solution

The third proportional to 11,327 and 17,495.50 is: 27,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327 : 17,495.50 = 17,495.50 : x
  2. Step 2: Convert to fraction form
    11,327/17,495.50 = 17,495.50/x
  3. Step 3: Cross multiply
    11,327x = 17,495.50 × 17,495.50
  4. Step 4: Simplify right side
    11,327x = 306,092,520.25
  5. Step 5: Solve for x
    x = 306,092,520.25/11,327
  6. Step 6: Final answer
    x = 27,023.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.