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Finding the Third Proportional to 5,133.94 and 7,723.69

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Solution

The third proportional to 5,133.94 and 7,723.69 is: 11,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.94 : 7,723.69 = 7,723.69 : x
  2. Step 2: Convert to fraction form
    5,133.94/7,723.69 = 7,723.69/x
  3. Step 3: Cross multiply
    5,133.94x = 7,723.69 × 7,723.69
  4. Step 4: Simplify right side
    5,133.94x = 59,655,348.60
  5. Step 5: Solve for x
    x = 59,655,348.60/5,133.94
  6. Step 6: Final answer
    x = 11,619.80

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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.