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Finding the Third Proportional to 3,025.69 and 4,736.81

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Solution

The third proportional to 3,025.69 and 4,736.81 is: 7,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.69 : 4,736.81 = 4,736.81 : x
  2. Step 2: Convert to fraction form
    3,025.69/4,736.81 = 4,736.81/x
  3. Step 3: Cross multiply
    3,025.69x = 4,736.81 × 4,736.81
  4. Step 4: Simplify right side
    3,025.69x = 22,437,392.66
  5. Step 5: Solve for x
    x = 22,437,392.66/3,025.69
  6. Step 6: Final answer
    x = 7,415.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.