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Finding the Third Proportional to 4,899.69 and 7,360.56

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Solution

The third proportional to 4,899.69 and 7,360.56 is: 11,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.69 : 7,360.56 = 7,360.56 : x
  2. Step 2: Convert to fraction form
    4,899.69/7,360.56 = 7,360.56/x
  3. Step 3: Cross multiply
    4,899.69x = 7,360.56 × 7,360.56
  4. Step 4: Simplify right side
    4,899.69x = 54,177,880.32
  5. Step 5: Solve for x
    x = 54,177,880.32/4,899.69
  6. Step 6: Final answer
    x = 11,057.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.