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Finding the Third Proportional to 5,628.09 and 10,452.94

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Solution

The third proportional to 5,628.09 and 10,452.94 is: 19,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.09 : 10,452.94 = 10,452.94 : x
  2. Step 2: Convert to fraction form
    5,628.09/10,452.94 = 10,452.94/x
  3. Step 3: Cross multiply
    5,628.09x = 10,452.94 × 10,452.94
  4. Step 4: Simplify right side
    5,628.09x = 109,263,902.38
  5. Step 5: Solve for x
    x = 109,263,902.38/5,628.09
  6. Step 6: Final answer
    x = 19,414.02

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.