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Finding the Third Proportional to 4,745.81 and 6,936.19

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Solution

The third proportional to 4,745.81 and 6,936.19 is: 10,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.81 : 6,936.19 = 6,936.19 : x
  2. Step 2: Convert to fraction form
    4,745.81/6,936.19 = 6,936.19/x
  3. Step 3: Cross multiply
    4,745.81x = 6,936.19 × 6,936.19
  4. Step 4: Simplify right side
    4,745.81x = 48,110,697.04
  5. Step 5: Solve for x
    x = 48,110,697.04/4,745.81
  6. Step 6: Final answer
    x = 10,137.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.