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Finding the Third Proportional to 18,771.75 and 21,748.50

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Solution

The third proportional to 18,771.75 and 21,748.50 is: 25,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,771.75 : 21,748.50 = 21,748.50 : x
  2. Step 2: Convert to fraction form
    18,771.75/21,748.50 = 21,748.50/x
  3. Step 3: Cross multiply
    18,771.75x = 21,748.50 × 21,748.50
  4. Step 4: Simplify right side
    18,771.75x = 472,997,252.25
  5. Step 5: Solve for x
    x = 472,997,252.25/18,771.75
  6. Step 6: Final answer
    x = 25,197.29

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.