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Finding the Third Proportional to 15,000.75 and 23,163.75

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Solution

The third proportional to 15,000.75 and 23,163.75 is: 35,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000.75 : 23,163.75 = 23,163.75 : x
  2. Step 2: Convert to fraction form
    15,000.75/23,163.75 = 23,163.75/x
  3. Step 3: Cross multiply
    15,000.75x = 23,163.75 × 23,163.75
  4. Step 4: Simplify right side
    15,000.75x = 536,559,314.06
  5. Step 5: Solve for x
    x = 536,559,314.06/15,000.75
  6. Step 6: Final answer
    x = 35,768.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.