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Finding the Third Proportional to 5,104.50 and 10,425

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Solution

The third proportional to 5,104.50 and 10,425 is: 21,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.50 : 10,425 = 10,425 : x
  2. Step 2: Convert to fraction form
    5,104.50/10,425 = 10,425/x
  3. Step 3: Cross multiply
    5,104.50x = 10,425 × 10,425
  4. Step 4: Simplify right side
    5,104.50x = 108,680,625
  5. Step 5: Solve for x
    x = 108,680,625/5,104.50
  6. Step 6: Final answer
    x = 21,291.14

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.