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Finding the Third Proportional to 10,104.75 and 18,022.50

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Solution

The third proportional to 10,104.75 and 18,022.50 is: 32,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.75 : 18,022.50 = 18,022.50 : x
  2. Step 2: Convert to fraction form
    10,104.75/18,022.50 = 18,022.50/x
  3. Step 3: Cross multiply
    10,104.75x = 18,022.50 × 18,022.50
  4. Step 4: Simplify right side
    10,104.75x = 324,810,506.25
  5. Step 5: Solve for x
    x = 324,810,506.25/10,104.75
  6. Step 6: Final answer
    x = 32,144.34

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.