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Finding the Third Proportional to 5,579.38 and 7,650.56

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Solution

The third proportional to 5,579.38 and 7,650.56 is: 10,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.38 : 7,650.56 = 7,650.56 : x
  2. Step 2: Convert to fraction form
    5,579.38/7,650.56 = 7,650.56/x
  3. Step 3: Cross multiply
    5,579.38x = 7,650.56 × 7,650.56
  4. Step 4: Simplify right side
    5,579.38x = 58,531,106.57
  5. Step 5: Solve for x
    x = 58,531,106.57/5,579.38
  6. Step 6: Final answer
    x = 10,490.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.