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Finding the Third Proportional to 19,500.75 and 21,414.38

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Solution

The third proportional to 19,500.75 and 21,414.38 is: 23,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.75 : 21,414.38 = 21,414.38 : x
  2. Step 2: Convert to fraction form
    19,500.75/21,414.38 = 21,414.38/x
  3. Step 3: Cross multiply
    19,500.75x = 21,414.38 × 21,414.38
  4. Step 4: Simplify right side
    19,500.75x = 458,575,456.64
  5. Step 5: Solve for x
    x = 458,575,456.64/19,500.75
  6. Step 6: Final answer
    x = 23,515.79

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.